164087315520 has 56 divisors (see below), whose sum is σ = 520977229824. Its totient is φ = 43756617216.

The previous prime is 164087315489. The next prime is 164087315543. The reversal of 164087315520 is 25513780461.

It is a happy number.

164087315520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164087315520² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 85461184 + ... + 85463103.

Almost surely, 2^164087315520 is an apocalyptic number.

164087315520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164087315520 is an abundant number, since it is smaller than the sum of its proper divisors (356889914304).

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

164087315520 is a wasteful number, since it uses less digits than its factorization.

164087315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170924307 (or 170924297 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 164087315520 in words is "one hundred sixty-four billion, eighty-seven million, three hundred fifteen thousand, five hundred twenty".