It was what I had to pay him, not the other way round in my divorce! (I earn more and always worked full time - he got 60% not 50% and our financial order says I support the children at university too, not him).
So in your case you would be entitled to s pension sharing order (which means you get a share of his pension ear marked for you when he turns 67 or whatever his retirement age is). He might insist you wait for that and not get more of the house instead or he might not.
You can check your state pension entitlement with the government once you reach a certain age - I applied on line and got an estimate which was about £150 a week when I get to 67 - You also can count 10 years at home with children towards the 35 year of NI contributinos you need to get a state pension and you will probably work from now until you are 67 full time anyway so plenty of time to build up more NI contributions but even so your full state pension may only be about £8k a year.
If he only agrees a pension share then you might well be entitled to half the house plus some spousal maintenance until you get back on your feet into full time work- perhaps for 5 years only. You may get more than half the house.
you need to looka t the sums (and see a good solicitor). Eg if the house equity is £100k and his pension will yield before taxation about £40k a year when he is nearly 70 that is very different from £1m equity in the house and £20k before tax pension.
My 5 children (2 at university now) have all come homw after - the older 3 so far and that was very useful for them whilst doing post grad law, training etc. In my view most parents whether divorced or not probably recognise graduate children might need a year or two at home particularly if home is near where work might be and they certainly are home in university holidays - my 2 have been home most of the last 3 months (I am counting down the days until they go back on Thursday - don't tell them I said that, lovely though they are).
Depending on your age you if you are older you might be able to get equity release (don't if you can avoid it) to help you stay in the house or if younger and in work perhaps if a relative would guarantee the mortgage for you (big ask) you could remortgage. I took on £1.3m of mortgage debt to pay my husband off entirely in a clean break. he also got my life savings and all my shares. It was worth it to keep the house and the children's home.