21579724160 has 64 divisors (see below), whose sum is σ = 51612163200. Its totient is φ = 8628019200.

The previous prime is 21579724157. The next prime is 21579724181. The reversal of 21579724160 is 6142797512.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1733960 + ... + 1746360.

It is an arithmetic number, because the mean of its divisors is an integer number (806440050).

Almost surely, 2^21579724160 is an apocalyptic number.

21579724160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21579724160 is an abundant number, since it is smaller than the sum of its proper divisors (30032439040).

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

21579724160 is a wasteful number, since it uses less digits than its factorization.

21579724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15139 (or 15127 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 21579724160 in words is "twenty-one billion, five hundred seventy-nine million, seven hundred twenty-four thousand, one hundred sixty".