21866907833232 has 960 divisors, whose sum is σ = 75663829776384. Its totient is φ = 5370617978880.

The previous prime is 21866907833227. The next prime is 21866907833237. The reversal of 21866907833232 is 23233870966812.

It is an interprime number because it is at equal distance from previous prime (21866907833227) and next prime (21866907833237).

It is a super-2 number, since 2×21866907833232² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21866907833237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28288366798 + ... + 28288367570.

Almost surely, 2^{21866907833232} is an apocalyptic number.

21866907833232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21866907833232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37831914888192).

21866907833232 is an abundant number, since it is smaller than the sum of its proper divisors (53796921943152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21866907833232 is a wasteful number, since it uses less digits than its factorization.

21866907833232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 21866907833232 in words is "twenty-one trillion, eight hundred sixty-six billion, nine hundred seven million, eight hundred thirty-three thousand, two hundred thirty-two".