21369648880800 has 432 divisors, whose sum is σ = 83552798216160. Its totient is φ = 5095593216000.

The previous prime is 21369648880777. The next prime is 21369648880807. The reversal of 21369648880800 is 808884696312.

21369648880800 is a `hidden beast` number, since 2 + 13 + 69 + 6 + 488 + 8 + 0 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (21369648880807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2619571 + ... + 7042829.

It is an arithmetic number, because the mean of its divisors is an integer number (193409255130).

Almost surely, 2^{21369648880800} is an apocalyptic number.

21369648880800 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 21369648880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41776399108080).

21369648880800 is an abundant number, since it is smaller than the sum of its proper divisors (62183149335360).

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

21369648880800 is a wasteful number, since it uses less digits than its factorization.

21369648880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423357 (or 4423341 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 21369648880800 in words is "twenty-one trillion, three hundred sixty-nine billion, six hundred forty-eight million, eight hundred eighty thousand, eight hundred".