56451375214080 has 3840 divisors, whose sum is σ = 253628555304960. Its totient is φ = 10543221964800.

The previous prime is 56451375214079. The next prime is 56451375214093. The reversal of 56451375214080 is 8041257315465.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 246512555406 + ... + 246512555634.

It is an arithmetic number, because the mean of its divisors is an integer number (66049102944).

Almost surely, 2^{56451375214080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56451375214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126814277652480).

56451375214080 is an abundant number, since it is smaller than the sum of its proper divisors (197177180090880).

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

56451375214080 is a wasteful number, since it uses less digits than its factorization.

56451375214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 56451375214080 in words is "fifty-six trillion, four hundred fifty-one billion, three hundred seventy-five million, two hundred fourteen thousand, eighty".