18864857625120 has 576 divisors, whose sum is σ = 75702431831040. Its totient is φ = 4370498076672.

The previous prime is 18864857625073. The next prime is 18864857625143. The reversal of 18864857625120 is 2152675846881.

18864857625120 is a `hidden beast` number, since 1 + 8 + 8 + 6 + 4 + 8 + 57 + 62 + 512 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11651377 + ... + 13171343.

It is an arithmetic number, because the mean of its divisors is an integer number (131427833040).

Almost surely, 2^{18864857625120} is an apocalyptic number.

18864857625120 is a gapful number since it is divisible by the number (10) 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 18864857625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37851215915520).

18864857625120 is an abundant number, since it is smaller than the sum of its proper divisors (56837574205920).

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

18864857625120 is a wasteful number, since it uses less digits than its factorization.

18864857625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520034 (or 1520007 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 18864857625120 in words is "eighteen trillion, eight hundred sixty-four billion, eight hundred fifty-seven million, six hundred twenty-five thousand, one hundred twenty".