56441688624 has 320 divisors, whose sum is σ = 169751040000. Its totient is φ = 17942031360.

The previous prime is 56441688617. The next prime is 56441688637. The reversal of 56441688624 is 42688614465.

56441688624 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 1 + 6 + 8 + 8 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246470142 + ... + 246470370.

It is an arithmetic number, because the mean of its divisors is an integer number (530472000).

Almost surely, 2^56441688624 is an apocalyptic number.

56441688624 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 56441688624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84875520000).

56441688624 is an abundant number, since it is smaller than the sum of its proper divisors (113309351376).

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

56441688624 is a wasteful number, since it uses less digits than its factorization.

56441688624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 56441688624 in words is "fifty-six billion, four hundred forty-one million, six hundred eighty-eight thousand, six hundred twenty-four".