18500120166528 has 3072 divisors, whose sum is σ = 77234984386560. Its totient is φ = 4096770048000.

The previous prime is 18500120166509. The next prime is 18500120166569. The reversal of 18500120166528 is 82566102100581.

18500120166528 is a `hidden beast` number, since 1 + 8 + 50 + 0 + 12 + 0 + 1 + 66 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 93909239326 + ... + 93909239522.

It is an arithmetic number, because the mean of its divisors is an integer number (25141596480).

Almost surely, 2^{18500120166528} is an apocalyptic number.

18500120166528 is a gapful number since it is divisible by the number (18) 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 18500120166528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38617492193280).

18500120166528 is an abundant number, since it is smaller than the sum of its proper divisors (58734864220032).

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

18500120166528 is a wasteful number, since it uses less digits than its factorization.

18500120166528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 18500120166528 in words is "eighteen trillion, five hundred billion, one hundred twenty million, one hundred sixty-six thousand, five hundred twenty-eight".