21696304800 has 432 divisors, whose sum is σ = 76331989440. Its totient is φ = 5342515200.

The previous prime is 21696304771. The next prime is 21696304811. The reversal of 21696304800 is 840369612.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53046996 + ... + 53047404.

It is an arithmetic number, because the mean of its divisors is an integer number (176694420).

Almost surely, 2^21696304800 is an apocalyptic number.

21696304800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21696304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38165994720).

21696304800 is an abundant number, since it is smaller than the sum of its proper divisors (54635684640).

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

21696304800 is a wasteful number, since it uses less digits than its factorization.

21696304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 21696304800 in words is "twenty-one billion, six hundred ninety-six million, three hundred four thousand, eight hundred".