Family: Annonaceae. Genus: Annona. Species: Annona squamosa · Binomial name · Annona squamosa · L. Michał Boym's drawing of, probably, the sugar-apple in his Flora Sinensis (). Sugar-apple or sweetsop or Custard apple is the fruit of Annona squamosa, the most widely Custard apple · Cherimoya · Annona squamosa · Atemoya. The cherimoya (Annona cherimola), also spelled chirimoya and called chirimuya by the Inca people, is an edible fruit-bearing species of the genus Annona from the family .. Soursop (Annona muricata); Sugar-apple (Annona squamosa); White sapote (Casimiroa edulis) — sometimes mislabeled as cherimoya; Wild soursop. Annona is a genus of flowering plants in the pawpaw/sugar apple family, Annonaceae. It is the second largest genus in the family after Guatteria, containing approximately species of mostly neotropical and afrotropical trees and shrubs. The generic name derives from anón, a Hispaniolan Taíno word for the fruit.