This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

n. The property of being divisible by a particular integer.

n. The quality of being divisible; the property of bodies by which their parts are capable of separation.

n. The capacity of being divided or separated into parts.

n. In arithmetic, the capacity of being exactly divided—that is, divided without remainder.

n. the quality of being divisible; the capacity to be divided into parts or divided among a number of persons

"In the second place, though matter, considered as the occult cause of our sensations, do really exist, yet what we call divisibility may be an attribute only of our sensations of sight and touch, and not of their uncognizable cause."

quality   

infinite divisibility   

divisible   

fissiparity   

incommensurability    north    perfectment    self-existence    beseeching