21600000288 has 72 divisors (see below), whose sum is σ = 62341847568. Its totient is φ = 7092531072.

The previous prime is 21600000239. The next prime is 21600000307. The reversal of 21600000288 is 88200000612.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540406 + ... + 578997.

It is an arithmetic number, because the mean of its divisors is an integer number (865858994).

Almost surely, 2^21600000288 is an apocalyptic number.

It is an amenable number.

21600000288 is an abundant number, since it is smaller than the sum of its proper divisors (40741847280).

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

21600000288 is a wasteful number, since it uses less digits than its factorization.

21600000288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119486 (or 1119475 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 21600000288 in words is "twenty-one billion, six hundred million, two hundred eighty-eight", and thus it is an aban number.