56261616000 has 256 divisors, whose sum is σ = 186911262720. Its totient is φ = 14970624000.

The previous prime is 56261615999. The next prime is 56261616007. The reversal of 56261616000 is 61616265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56261616007) by changing a digit.

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, 29135035 + ... + 29136965.

It is an arithmetic number, because the mean of its divisors is an integer number (730122120).

Almost surely, 2^56261616000 is an apocalyptic number.

56261616000 is a gapful number since it is divisible by the number (50) 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 56261616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93455631360).

56261616000 is an abundant number, since it is smaller than the sum of its proper divisors (130649646720).

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

56261616000 is a wasteful number, since it uses less digits than its factorization.

56261616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 56261616000 in words is "fifty-six billion, two hundred sixty-one million, six hundred sixteen thousand".