21322116400 has 60 divisors (see below), whose sum is σ = 55166889232. Its totient is φ = 7872779520.

The previous prime is 21322116373. The next prime is 21322116457. The reversal of 21322116400 is 461122312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2045004 + ... + 2055403.

Almost surely, 2^21322116400 is an apocalyptic number.

21322116400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322116400 is an abundant number, since it is smaller than the sum of its proper divisors (33844772832).

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

21322116400 is a wasteful number, since it uses less digits than its factorization.

21322116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100438 (or 4100427 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21322116400 its reverse (461122312), we get a palindrome (21783238712).

The spelling of 21322116400 in words is "twenty-one billion, three hundred twenty-two million, one hundred sixteen thousand, four hundred".