22960664100 has 432 divisors, whose sum is σ = 83635022016. Its totient is φ = 5207040000.

The previous prime is 22960664071. The next prime is 22960664123. The reversal of 22960664100 is 146606922.

22960664100 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 0 + 6 + 641 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 38203800 + ... + 38204400.

It is an arithmetic number, because the mean of its divisors is an integer number (193599588).

Almost surely, 2^22960664100 is an apocalyptic number.

22960664100 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 22960664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41817511008).

22960664100 is an abundant number, since it is smaller than the sum of its proper divisors (60674357916).

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

22960664100 is a wasteful number, since it uses less digits than its factorization.

22960664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 22960664100 in words is "twenty-two billion, nine hundred sixty million, six hundred sixty-four thousand, one hundred".