21338313078720 has 224 divisors, whose sum is σ = 75626953079040. Its totient is φ = 5052623708160.

The previous prime is 21338313078701. The next prime is 21338313078721. The reversal of 21338313078720 is 2787031383312.

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 21338313078720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21338313078721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23042125 + ... + 23950284.

Almost surely, 2^{21338313078720} is an apocalyptic number.

21338313078720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21338313078720 is an abundant number, since it is smaller than the sum of its proper divisors (54288640000320).

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

21338313078720 is a wasteful number, since it uses less digits than its factorization.

21338313078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46992483 (or 46992473 counting only the distinct ones).

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

The spelling of 21338313078720 in words is "twenty-one trillion, three hundred thirty-eight billion, three hundred thirteen million, seventy-eight thousand, seven hundred twenty".