White male slaves in Egypt in the early 1800s were called memlooks. Few residents of Cairo, other than very rich Turks, owned memlooks. Eunuchs were even more rare and were generally owned by only the highest ranking Turks.
The large majority of slaves owned by Egyptians living in Cairo in the early 1800s were female.
– source: Manners and Customs of the Modern Egyptians by Edward W. Lane, first published in 1836