21715827264 has 42 divisors (see below), whose sum is σ = 62244499590. Its totient is φ = 7238608896.

The previous prime is 21715827253. The next prime is 21715827283. The reversal of 21715827264 is 46272851712.

21715827264 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 582 + 7 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18173196864 + 3542630400 = 134808^2 + 59520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18849969 + ... + 18851120.

It is an arithmetic number, because the mean of its divisors is an integer number (1482011895).

Almost surely, 2^21715827264 is an apocalyptic number.

21715827264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21715827264 is an abundant number, since it is smaller than the sum of its proper divisors (40528672326).

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

21715827264 is a wasteful number, since it uses less digits than its factorization.

21715827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37701107 (or 37701094 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 21715827264 in words is "twenty-one billion, seven hundred fifteen million, eight hundred twenty-seven thousand, two hundred sixty-four".