23656872960 has 880 divisors, whose sum is σ = 100580736960. Its totient is φ = 5202247680.

The previous prime is 23656872959. The next prime is 23656872961. The reversal of 23656872960 is 6927865632.

23656872960 is a `hidden beast` number, since 2 + 3 + 6 + 568 + 72 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23656872959) and next prime (23656872961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23656872897 and 23656872906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23656872961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84188020 + ... + 84188300.

It is an arithmetic number, because the mean of its divisors is an integer number (114296292).

Almost surely, 2^23656872960 is an apocalyptic number.

23656872960 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 23656872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50290368480).

23656872960 is an abundant number, since it is smaller than the sum of its proper divisors (76923864000).

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

23656872960 is a wasteful number, since it uses less digits than its factorization.

23656872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 23656872960 in words is "twenty-three billion, six hundred fifty-six million, eight hundred seventy-two thousand, nine hundred sixty".