56609012544 has 224 divisors, whose sum is σ = 177460899840. Its totient is φ = 15588329472.

The previous prime is 56609012533. The next prime is 56609012599. The reversal of 56609012544 is 44521090665.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56609012496 and 56609012505.

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 31 ways as a sum of consecutive naturals, for example, 5315577 + ... + 5326215.

It is an arithmetic number, because the mean of its divisors is an integer number (792236160).

Almost surely, 2^56609012544 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 56609012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88730449920).

56609012544 is an abundant number, since it is smaller than the sum of its proper divisors (120851887296).

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

56609012544 is a wasteful number, since it uses less digits than its factorization.

56609012544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10805 (or 10795 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 56609012544 in words is "fifty-six billion, six hundred nine million, twelve thousand, five hundred forty-four".