21872216940800 has 108 divisors (see below), whose sum is σ = 55600321401156. Its totient is φ = 8512430284800.

The previous prime is 21872216940773. The next prime is 21872216940817. The reversal of 21872216940800 is 804961227812.

It can be written as a sum of positive squares in 6 ways, for example, as 118126940416 + 21754090000384 = 343696^2 + 4664128^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45946091 + ... + 46419690.

Almost surely, 2^{21872216940800} is an apocalyptic number.

21872216940800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21872216940800 is an abundant number, since it is smaller than the sum of its proper divisors (33728104460356).

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

21872216940800 is an equidigital number, since it uses as much as digits as its factorization.

21872216940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92365844 (or 92365825 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 21872216940800 in words is "twenty-one trillion, eight hundred seventy-two billion, two hundred sixteen million, nine hundred forty thousand, eight hundred".