23179130256000 has 1024 divisors, whose sum is σ = 85664505139200. Its totient is φ = 5517246873600.

The previous prime is 23179130255971. The next prime is 23179130256011. The reversal of 23179130256000 is 65203197132.

It is a happy number.

It is a super-2 number, since 2×23179130256000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23179130256000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1405383754 + ... + 1405400246.

It is an arithmetic number, because the mean of its divisors is an integer number (83656743300).

Almost surely, 2^{23179130256000} is an apocalyptic number.

23179130256000 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 23179130256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42832252569600).

23179130256000 is an abundant number, since it is smaller than the sum of its proper divisors (62485374883200).

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

23179130256000 is a wasteful number, since it uses less digits than its factorization.

23179130256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16634 (or 16612 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 23179130256000 in words is "twenty-three trillion, one hundred seventy-nine billion, one hundred thirty million, two hundred fifty-six thousand".