18589160572416 has 400 divisors, whose sum is σ = 63437401130400. Its totient is φ = 5308893757440.

The previous prime is 18589160572397. The next prime is 18589160572417. The reversal of 18589160572416 is 61427506198581.

18589160572416 is a `hidden beast` number, since 1 + 8 + 5 + 8 + 9 + 1 + 605 + 7 + 2 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18589160572417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 739972336 + ... + 739997456.

It is an arithmetic number, because the mean of its divisors is an integer number (158593502826).

Almost surely, 2^{18589160572416} is an apocalyptic number.

18589160572416 is a gapful number since it is divisible by the number (16) 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 18589160572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31718700565200).

18589160572416 is an abundant number, since it is smaller than the sum of its proper divisors (44848240557984).

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

18589160572416 is an equidigital number, since it uses as much as digits as its factorization.

18589160572416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27707 (or 27682 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 18589160572416 in words is "eighteen trillion, five hundred eighty-nine billion, one hundred sixty million, five hundred seventy-two thousand, four hundred sixteen".