18625725601920 has 512 divisors, whose sum is σ = 69923487168000. Its totient is φ = 4669537517568.

The previous prime is 18625725601913. The next prime is 18625725601933. The reversal of 18625725601920 is 2910652752681.

18625725601920 is a `hidden beast` number, since 1 + 8 + 6 + 2 + 5 + 7 + 2 + 5 + 601 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269930944 + ... + 269999936.

It is an arithmetic number, because the mean of its divisors is an integer number (136569310875).

Almost surely, 2^{18625725601920} is an apocalyptic number.

18625725601920 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 18625725601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34961743584000).

18625725601920 is an abundant number, since it is smaller than the sum of its proper divisors (51297761566080).

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

18625725601920 is a wasteful number, since it uses less digits than its factorization.

18625725601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69957 (or 69939 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 18625725601920 in words is "eighteen trillion, six hundred twenty-five billion, seven hundred twenty-five million, six hundred one thousand, nine hundred twenty".