22983680966400 has 2592 divisors, whose sum is σ = 111611681395200. Its totient is φ = 4567759257600.

The previous prime is 22983680966399. The next prime is 22983680966413. The reversal of 22983680966400 is 466908638922.

22983680966400 is a `hidden beast` number, since 2 + 2 + 9 + 83 + 68 + 0 + 96 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2142196236 + ... + 2142206964.

Almost surely, 2^{22983680966400} is an apocalyptic number.

22983680966400 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 22983680966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55805840697600).

22983680966400 is an abundant number, since it is smaller than the sum of its proper divisors (88628000428800).

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

22983680966400 is a wasteful number, since it uses less digits than its factorization.

22983680966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 22983680966400 in words is "twenty-two trillion, nine hundred eighty-three billion, six hundred eighty million, nine hundred sixty-six thousand, four hundred".