This is a related plant to Sedum morganianum, the burros tail, and it's got a similar name too - Sedum x 'Burrito', or sometimes listed as a species, Sedum burrito. It's thought that it is probably a seed grown sport of Sedum morganianum, the Donkey tail or burros tail, as there is no evidence of it growing wild.
The care is the same as for most other similar stonecrops - warm but not hot temperatures, allow to dry out before watering again.
In these two Sedum, the leaves tend to drop off easily, but they will root and form new plants.
Astonishingly, these plants do bloom - each end of a tentacle will open into beautiful pinky red flowers, but the plant has to be fairly old to start flowering.