56305506816 has 480 divisors, whose sum is σ = 180972792000. Its totient is φ = 16745693184.

The previous prime is 56305506767. The next prime is 56305506821. The reversal of 56305506816 is 61860550365.

56305506816 is a `hidden beast` number, since 5 + 6 + 30 + 550 + 68 + 1 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 314555815 + ... + 314555993.

It is an arithmetic number, because the mean of its divisors is an integer number (377026650).

Almost surely, 2^56305506816 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 56305506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90486396000).

56305506816 is an abundant number, since it is smaller than the sum of its proper divisors (124667285184).

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

56305506816 is a wasteful number, since it uses less digits than its factorization.

56305506816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 56305506816 in words is "fifty-six billion, three hundred five million, five hundred six thousand, eight hundred sixteen".