56605602816 has 704 divisors, whose sum is σ = 201228288000. Its totient is φ = 15704285184.

The previous prime is 56605602793. The next prime is 56605602817. The reversal of 56605602816 is 61820650665.

It is a happy number.

56605602816 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 560 + 2 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56605602817) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 445713345 + ... + 445713471.

Almost surely, 2^56605602816 is an apocalyptic number.

56605602816 is a gapful number since it is divisible by the number (56) 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 56605602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100614144000).

56605602816 is an abundant number, since it is smaller than the sum of its proper divisors (144622685184).

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

56605602816 is a wasteful number, since it uses less digits than its factorization.

56605602816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56605602816 in words is "fifty-six billion, six hundred five million, six hundred two thousand, eight hundred sixteen".