23155724116800 has 1512 divisors, whose sum is σ = 91758254908320. Its totient is φ = 5533811712000.

The previous prime is 23155724116793. The next prime is 23155724116873. The reversal of 23155724116800 is 861142755132.

23155724116800 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 572 + 4 + 11 + 68 + 0 + 0 = 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 215 ways as a sum of consecutive naturals, for example, 52270257379 + ... + 52270257821.

Almost surely, 2^{23155724116800} is an apocalyptic number.

23155724116800 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 23155724116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45879127454160).

23155724116800 is an abundant number, since it is smaller than the sum of its proper divisors (68602530791520).

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

23155724116800 is a wasteful number, since it uses less digits than its factorization.

23155724116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 23155724116800 in words is "twenty-three trillion, one hundred fifty-five billion, seven hundred twenty-four million, one hundred sixteen thousand, eight hundred".