@justanotherneighinparadise a quick Google gives me Walker and Herndon 2008 (important disclaimer, am physical scientist not biologist and have only scanned the abstract and conclusions) but it looks like other great apes do have something like a menopause, albeit later (relatively speaking) and not quite such an abrupt cliff edge. Below is the conclusions section:
We draw the following conclusions:
The multitude of definitions for menopause has contributed to a general confusion about its occurrence among nonhuman primate species. A uniform definition would facilitate our understanding of the way in which menopause reflects species-specific patterns of reproductive senescence.
We define menopause in primates as the permanent, nonpathlogic, age-associated cessation of ovulation. Menopause is associated with concomitant structural and functional changes, including (in species that exhibit menstrual bleeding) the termination of menstruation.
Whereas humans have a uniquely extended postmenopausal life expectancy, other primate species do experience a postreproductive period. The length of this period is not necessarily related to the existence of menopause per se.
Many of the apparent discrepancies in reports regarding the occurrence of menopause in nonhuman primates may be accounted for by environmental and social factors that distinguish captive versus wild animals, and by a paucity of data from sufficiently powered studies.
By almost any generally accepted definition, several species of nonhuman primates experience menopause.