20408192716800 has 624 divisors, whose sum is σ = 77167575082112. Its totient is φ = 4661497036800.

The previous prime is 20408192716777. The next prime is 20408192716819. The reversal of 20408192716800 is 861729180402.

It is a happy number.

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 20408192716800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4595402580 + ... + 4595407020.

Almost surely, 2^{20408192716800} is an apocalyptic number.

20408192716800 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 20408192716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38583787541056).

20408192716800 is an abundant number, since it is smaller than the sum of its proper divisors (56759382365312).

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

20408192716800 is a wasteful number, since it uses less digits than its factorization.

20408192716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 20408192716800 in words is "twenty trillion, four hundred eight billion, one hundred ninety-two million, seven hundred sixteen thousand, eight hundred".