56801732854944 has 1152 divisors, whose sum is σ = 207086897590272. Its totient is φ = 13425838325760.

The previous prime is 56801732854939. The next prime is 56801732854949. The reversal of 56801732854944 is 44945823710865.

It is an interprime number because it is at equal distance from previous prime (56801732854939) and next prime (56801732854949).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (56801732854949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3431498572 + ... + 3431515124.

It is an arithmetic number, because the mean of its divisors is an integer number (179762931936).

It is a 1-persistent number, because it is pandigital, but 2⋅56801732854944 = 113603465709888 is not.

Almost surely, 2^{56801732854944} 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 56801732854944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103543448795136).

56801732854944 is an abundant number, since it is smaller than the sum of its proper divisors (150285164735328).

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

56801732854944 is a wasteful number, since it uses less digits than its factorization.

56801732854944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16738 (or 16723 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 56801732854944 in words is "fifty-six trillion, eight hundred one billion, seven hundred thirty-two million, eight hundred fifty-four thousand, nine hundred forty-four".