22815682560 has 832 divisors, whose sum is σ = 92095672320. Its totient is φ = 5352652800.

The previous prime is 22815682489. The next prime is 22815682579. The reversal of 22815682560 is 6528651822.

It is a happy number.

22815682560 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 5 + 6 + 82 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 735989745 + ... + 735989775.

Almost surely, 2^22815682560 is an apocalyptic number.

22815682560 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 22815682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46047836160).

22815682560 is an abundant number, since it is smaller than the sum of its proper divisors (69279989760).

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

22815682560 is an equidigital number, since it uses as much as digits as its factorization.

22815682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 22815682560 in words is "twenty-two billion, eight hundred fifteen million, six hundred eighty-two thousand, five hundred sixty".