56311971456 has 128 divisors (see below), whose sum is σ = 162262497600. Its totient is φ = 17200078848.

The previous prime is 56311971427. The next prime is 56311971467. The reversal of 56311971456 is 65417911365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×56311971456² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642735 + ... + 725073.

Almost surely, 2^56311971456 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 56311971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81131248800).

56311971456 is an abundant number, since it is smaller than the sum of its proper divisors (105950526144).

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

56311971456 is a wasteful number, since it uses less digits than its factorization.

56311971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82506 (or 82494 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The spelling of 56311971456 in words is "fifty-six billion, three hundred eleven million, nine hundred seventy-one thousand, four hundred fifty-six".