56156405760 has 1440 divisors, whose sum is σ = 256482250752. Its totient is φ = 11466178560.

The previous prime is 56156405749. The next prime is 56156405771. The reversal of 56156405760 is 6750465165.

56156405760 is a `hidden beast` number, since 5 + 6 + 15 + 64 + 0 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56156405749) and next prime (56156405771).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×56156405760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1811496945 + ... + 1811496975.

Almost surely, 2^56156405760 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 56156405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128241125376).

56156405760 is an abundant number, since it is smaller than the sum of its proper divisors (200325844992).

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

56156405760 is an equidigital number, since it uses as much as digits as its factorization.

56156405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56156405760 in words is "fifty-six billion, one hundred fifty-six million, four hundred five thousand, seven hundred sixty".