56711120256 has 384 divisors, whose sum is σ = 195730329600. Its totient is φ = 15419289600.

The previous prime is 56711120243. The next prime is 56711120281. The reversal of 56711120256 is 65202111765.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56711120256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15247165 + ... + 15250883.

It is an arithmetic number, because the mean of its divisors is an integer number (509714400).

Almost surely, 2^56711120256 is an apocalyptic number.

56711120256 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 56711120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97865164800).

56711120256 is an abundant number, since it is smaller than the sum of its proper divisors (139019209344).

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

56711120256 is a wasteful number, since it uses less digits than its factorization.

56711120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 56711120256 in words is "fifty-six billion, seven hundred eleven million, one hundred twenty thousand, two hundred fifty-six".