18930525120 has 224 divisors, whose sum is σ = 71920242240. Its totient is φ = 4659793920.

The previous prime is 18930525073. The next prime is 18930525139. The reversal of 18930525120 is 2152503981.

18930525120 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 0 + 525 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28050 + ... + 196590.

It is an arithmetic number, because the mean of its divisors is an integer number (321072510).

Almost surely, 2^18930525120 is an apocalyptic number.

18930525120 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 18930525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35960121120).

18930525120 is an abundant number, since it is smaller than the sum of its proper divisors (52989717120).

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

18930525120 is a wasteful number, since it uses less digits than its factorization.

18930525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168580 (or 168564 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 18930525120 in words is "eighteen billion, nine hundred thirty million, five hundred twenty-five thousand, one hundred twenty".