22820524560 has 960 divisors, whose sum is σ = 90669196800. Its totient is φ = 5109350400.

The previous prime is 22820524513. The next prime is 22820524607. The reversal of 22820524560 is 6542502822.

22820524560 is a `hidden beast` number, since 2 + 2 + 82 + 0 + 524 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22820524513) and next prime (22820524607).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374106930 + ... + 374106990.

It is an arithmetic number, because the mean of its divisors is an integer number (94447080).

Almost surely, 2^22820524560 is an apocalyptic number.

22820524560 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 22820524560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334598400).

22820524560 is an abundant number, since it is smaller than the sum of its proper divisors (67848672240).

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

22820524560 is a wasteful number, since it uses less digits than its factorization.

22820524560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 22820524560 in words is "twenty-two billion, eight hundred twenty million, five hundred twenty-four thousand, five hundred sixty".