56457327906720 has 288 divisors, whose sum is σ = 218400717225600. Its totient is φ = 13165757356032.

The previous prime is 56457327906709. The next prime is 56457327906743. The reversal of 56457327906720 is 2760972375465.

It is a happy number.

56457327906720 is a `hidden beast` number, since 5 + 6 + 457 + 3 + 27 + 90 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×56457327906720³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79009660 + ... + 79721019.

It is an arithmetic number, because the mean of its divisors is an integer number (758335823700).

Almost surely, 2^{56457327906720} is an apocalyptic number.

It is an amenable number.

56457327906720 is an abundant number, since it is smaller than the sum of its proper divisors (161943389318880).

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

56457327906720 is a wasteful number, since it uses less digits than its factorization.

56457327906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158730732 (or 158730721 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 56457327906720 in words is "fifty-six trillion, four hundred fifty-seven billion, three hundred twenty-seven million, nine hundred six thousand, seven hundred twenty".