13372972082400 has 576 divisors, whose sum is σ = 52969859712000. Its totient is φ = 2923776092160.

The previous prime is 13372972082389. The next prime is 13372972082413. The reversal of 13372972082400 is 428027927331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13372972082400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18580446 + ... + 19286754.

It is an arithmetic number, because the mean of its divisors is an integer number (91961562000).

Almost surely, 2^{13372972082400} is an apocalyptic number.

13372972082400 is a gapful number since it is divisible by the number (10) 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 13372972082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26484929856000).

13372972082400 is an abundant number, since it is smaller than the sum of its proper divisors (39596887629600).

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

13372972082400 is a wasteful number, since it uses less digits than its factorization.

13372972082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706376 (or 706349 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 13372972082400 in words is "thirteen trillion, three hundred seventy-two billion, nine hundred seventy-two million, eighty-two thousand, four hundred".