56381966784 has 560 divisors, whose sum is σ = 206739012480. Its totient is φ = 14937384960.

The previous prime is 56381966759. The next prime is 56381966791. The reversal of 56381966784 is 48766918365.

56381966784 is a `hidden beast` number, since 563 + 8 + 1 + 9 + 6 + 67 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14082927 + ... + 14086929.

It is an arithmetic number, because the mean of its divisors is an integer number (369176808).

Almost surely, 2^56381966784 is an apocalyptic number.

56381966784 is a gapful number since it is divisible by the number (54) 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 56381966784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103369506240).

56381966784 is an abundant number, since it is smaller than the sum of its proper divisors (150357045696).

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

56381966784 is a wasteful number, since it uses less digits than its factorization.

56381966784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4051 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

It can be divided in two parts, 56381 and 966784, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 56381966784 in words is "fifty-six billion, three hundred eighty-one million, nine hundred sixty-six thousand, seven hundred eighty-four".