This is a monstrose form of the Opuntia subulata, also known as Austrocylindropuntia subulata.
Origin and habitat: Probably native only to the Andes of Peru
Description: It is a popular well-known shrubby cactus with several main branches from the base or a small tree with a simple erect trunk and a large almost hemispherical top often 3 to 4(-5) meters high. The leaves are relatively large and persistent.
Some of the information in this description has been found at desert-tropicals.com, llifle.com and cactus-art.biz