18520252013088 has 384 divisors, whose sum is σ = 65128250880000. Its totient is φ = 5001821798400.

The previous prime is 18520252013063. The next prime is 18520252013089. The reversal of 18520252013088 is 88031025202581.

18520252013088 is a `hidden beast` number, since 1 + 8 + 520 + 25 + 20 + 1 + 3 + 0 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (18520252013089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51416013 + ... + 51774963.

It is an arithmetic number, because the mean of its divisors is an integer number (169604820000).

Almost surely, 2^{18520252013088} is an apocalyptic number.

18520252013088 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 18520252013088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32564125440000).

18520252013088 is an abundant number, since it is smaller than the sum of its proper divisors (46607998866912).

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

18520252013088 is a wasteful number, since it uses less digits than its factorization.

18520252013088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359445 (or 359431 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 18520252013088 in words is "eighteen trillion, five hundred twenty billion, two hundred fifty-two million, thirteen thousand, eighty-eight".