56056847765760 has 864 divisors, whose sum is σ = 213365985985152. Its totient is φ = 14042724433920.

The previous prime is 56056847765759. The next prime is 56056847765761. The reversal of 56056847765760 is 6756774865065.

It is a happy number.

56056847765760 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 6 + 8 + 47 + 7 + 6 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56056847765759) and next prime (56056847765761).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56056847765761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2892351270 + ... + 2892370650.

It is an arithmetic number, because the mean of its divisors is an integer number (246951372668).

Almost surely, 2^{56056847765760} 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 56056847765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106682992992576).

56056847765760 is an abundant number, since it is smaller than the sum of its proper divisors (157309138219392).

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

56056847765760 is a wasteful number, since it uses less digits than its factorization.

56056847765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19981 (or 19955 counting only the distinct ones).

The product of its (nonzero) digits is 1778112000, while the sum is 72.

The spelling of 56056847765760 in words is "fifty-six trillion, fifty-six billion, eight hundred forty-seven million, seven hundred sixty-five thousand, seven hundred sixty".