22895832960 has 1728 divisors, whose sum is σ = 112883228640. Its totient is φ = 4160471040.

The previous prime is 22895832913. The next prime is 22895833043. The reversal of 22895832960 is 6923859822.

22895832960 is a `hidden beast` number, since 228 + 95 + 8 + 329 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22895832897 and 22895832906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1205043831 + ... + 1205043849.

Almost surely, 2^22895832960 is an apocalyptic number.

22895832960 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 22895832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56441614320).

22895832960 is an abundant number, since it is smaller than the sum of its proper divisors (89987395680).

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

22895832960 is a wasteful number, since it uses less digits than its factorization.

22895832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 22895832960 in words is "twenty-two billion, eight hundred ninety-five million, eight hundred thirty-two thousand, nine hundred sixty".