23137096752000 has 2304 divisors, whose sum is σ = 105896404373760. Its totient is φ = 4787112960000.

The previous prime is 23137096751999. The next prime is 23137096752031. The reversal of 23137096752000 is 25769073132.

23137096752000 is a `hidden beast` number, since 2 + 3 + 1 + 37 + 0 + 96 + 7 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×23137096752000² (a number of 28 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 23828111515 + ... + 23828112485.

It is an arithmetic number, because the mean of its divisors is an integer number (45961981065).

Almost surely, 2^{23137096752000} is an apocalyptic number.

23137096752000 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 23137096752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52948202186880).

23137096752000 is an abundant number, since it is smaller than the sum of its proper divisors (82759307621760).

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

23137096752000 is a wasteful number, since it uses less digits than its factorization.

23137096752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 23137096752000 in words is "twenty-three trillion, one hundred thirty-seven billion, ninety-six million, seven hundred fifty-two thousand".