22909859976960 has 864 divisors, whose sum is σ = 89548048800000. Its totient is φ = 5542270525440.

The previous prime is 22909859976953. The next prime is 22909859976961. The reversal of 22909859976960 is 6967995890922.

It is a happy number.

22909859976960 is a `hidden beast` number, since 2 + 290 + 98 + 5 + 99 + 76 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 22909859976960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22909859976961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2086692751 + ... + 2086703729.

It is an arithmetic number, because the mean of its divisors is an integer number (103643575000).

Almost surely, 2^{22909859976960} is an apocalyptic number.

22909859976960 is a gapful number since it is divisible by the number (20) 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 22909859976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44774024400000).

22909859976960 is an abundant number, since it is smaller than the sum of its proper divisors (66638188823040).

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

22909859976960 is a wasteful number, since it uses less digits than its factorization.

22909859976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 2380855680, while the sum is 81.

The spelling of 22909859976960 in words is "twenty-two trillion, nine hundred nine billion, eight hundred fifty-nine million, nine hundred seventy-six thousand, nine hundred sixty".