27907406164960 has 48 divisors (see below), whose sum is σ = 75349996648416. Its totient is φ = 9568253541888.

The previous prime is 27907406164903. The next prime is 27907406164987. The reversal of 27907406164960 is 6946160470972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12458662347 + ... + 12458664586.

It is an arithmetic number, because the mean of its divisors is an integer number (1569791596842).

Almost surely, 2^{27907406164960} is an apocalyptic number.

27907406164960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27907406164960 is an abundant number, since it is smaller than the sum of its proper divisors (47442590483456).

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

27907406164960 is a wasteful number, since it uses less digits than its factorization.

27907406164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24917326955 (or 24917326947 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 27907406164960 in words is "twenty-seven trillion, nine hundred seven billion, four hundred six million, one hundred sixty-four thousand, nine hundred sixty".