56462099016960 has 3456 divisors, whose sum is σ = 258574835312640. Its totient is φ = 11558353895424.

The previous prime is 56462099016901. The next prime is 56462099016979. The reversal of 56462099016960 is 6961099026465.

56462099016960 is a `hidden beast` number, since 5 + 6 + 462 + 0 + 9 + 9 + 0 + 169 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 203834292342 + ... + 203834292618.

It is an arithmetic number, because the mean of its divisors is an integer number (74819107440).

Almost surely, 2^{56462099016960} 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 56462099016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129287417656320).

56462099016960 is an abundant number, since it is smaller than the sum of its proper divisors (202112736295680).

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

56462099016960 is a wasteful number, since it uses less digits than its factorization.

56462099016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 56462099016960 in words is "fifty-six trillion, four hundred sixty-two billion, ninety-nine million, sixteen thousand, nine hundred sixty".