56460623693760 has 1120 divisors, whose sum is σ = 241440269317632. Its totient is φ = 12340683694080.

The previous prime is 56460623693741. The next prime is 56460623693801. The reversal of 56460623693760 is 6739632606465.

56460623693760 is a `hidden beast` number, since 5 + 6 + 460 + 6 + 23 + 6 + 93 + 7 + 60 = 666.

56460623693760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 159204957 + ... + 159559203.

Almost surely, 2^{56460623693760} 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 56460623693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120720134658816).

56460623693760 is an abundant number, since it is smaller than the sum of its proper divisors (184979645623872).

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

56460623693760 is a wasteful number, since it uses less digits than its factorization.

56460623693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354343 (or 354324 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 56460623693760 in words is "fifty-six trillion, four hundred sixty billion, six hundred twenty-three million, six hundred ninety-three thousand, seven hundred sixty".