18091625628960 has 768 divisors, whose sum is σ = 69401845094400. Its totient is φ = 4374887804928.

The previous prime is 18091625628943. The next prime is 18091625629027. The reversal of 18091625628960 is 6982652619081.

18091625628960 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 1 + 6 + 2 + 562 + 8 + 9 + 60 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 834358279 + ... + 834379961.

It is an arithmetic number, because the mean of its divisors is an integer number (90366985800).

Almost surely, 2^{18091625628960} is an apocalyptic number.

18091625628960 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 18091625628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700922547200).

18091625628960 is an abundant number, since it is smaller than the sum of its proper divisors (51310219465440).

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

18091625628960 is a wasteful number, since it uses less digits than its factorization.

18091625628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21982 (or 21968 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 18091625628960 in words is "eighteen trillion, ninety-one billion, six hundred twenty-five million, six hundred twenty-eight thousand, nine hundred sixty".