56462416536960 has 3072 divisors, whose sum is σ = 249242552064000. Its totient is φ = 12018418384896.

The previous prime is 56462416536943. The next prime is 56462416536961. The reversal of 56462416536960 is 6963561426465.

56462416536960 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 2 + 4 + 1 + 6 + 536 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56462416536961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 142222711482 + ... + 142222711878.

It is an arithmetic number, because the mean of its divisors is an integer number (81133643250).

Almost surely, 2^{56462416536960} 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 56462416536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124621276032000).

56462416536960 is an abundant number, since it is smaller than the sum of its proper divisors (192780135527040).

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

56462416536960 is a wasteful number, since it uses less digits than its factorization.

56462416536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 56462416536960 in words is "fifty-six trillion, four hundred sixty-two billion, four hundred sixteen million, five hundred thirty-six thousand, nine hundred sixty".