56617021440 has 416 divisors, whose sum is σ = 230050460160. Its totient is φ = 12940148736.

The previous prime is 56617021423. The next prime is 56617021451. The reversal of 56617021440 is 4412071665.

56617021440 is a `hidden beast` number, since 566 + 1 + 70 + 21 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56617021395 and 56617021404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3863407 + ... + 3878033.

Almost surely, 2^56617021440 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 56617021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115025230080).

56617021440 is an abundant number, since it is smaller than the sum of its proper divisors (173433438720).

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

56617021440 is a wasteful number, since it uses less digits than its factorization.

56617021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14672 (or 14644 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 56617021440 in words is "fifty-six billion, six hundred seventeen million, twenty-one thousand, four hundred forty".