21322832800 has 216 divisors, whose sum is σ = 54418602924. Its totient is φ = 8154132480.

The previous prime is 21322832789. The next prime is 21322832831. The reversal of 21322832800 is 823822312.

It can be written as a sum of positive squares in 6 ways, for example, as 10798535056 + 10524297744 = 103916^2 + 102588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256901559 + ... + 256901641.

Almost surely, 2^21322832800 is an apocalyptic number.

21322832800 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 21322832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209301462).

21322832800 is an abundant number, since it is smaller than the sum of its proper divisors (33095770124).

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

21322832800 is an equidigital number, since it uses as much as digits as its factorization.

21322832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 21322832800 in words is "twenty-one billion, three hundred twenty-two million, eight hundred thirty-two thousand, eight hundred".