56617552224 has 144 divisors (see below), whose sum is σ = 163554706224. Its totient is φ = 18576000000.

The previous prime is 56617552193. The next prime is 56617552241. The reversal of 56617552224 is 42225571665.

56617552224 is a `hidden beast` number, since 5 + 6 + 617 + 5 + 5 + 2 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 56617552224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5026599 + ... + 5037849.

It is an arithmetic number, because the mean of its divisors is an integer number (1135796571).

Almost surely, 2^56617552224 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 56617552224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81777353112).

56617552224 is an abundant number, since it is smaller than the sum of its proper divisors (106937154000).

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

56617552224 is a wasteful number, since it uses less digits than its factorization.

56617552224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541 (or 11530 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 56617552224 in words is "fifty-six billion, six hundred seventeen million, five hundred fifty-two thousand, two hundred twenty-four".