56891681280 has 960 divisors, whose sum is σ = 240531033600. Its totient is φ = 12398690304.

The previous prime is 56891681267. The next prime is 56891681359. The reversal of 56891681280 is 8218619865.

It is a happy number.

56891681280 is a `hidden beast` number, since 568 + 9 + 1 + 68 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181762404 + ... + 181762716.

It is an arithmetic number, because the mean of its divisors is an integer number (250553160).

Almost surely, 2^56891681280 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 56891681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120265516800).

56891681280 is an abundant number, since it is smaller than the sum of its proper divisors (183639352320).

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

56891681280 is a wasteful number, since it uses less digits than its factorization.

56891681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 56891681280 in words is "fifty-six billion, eight hundred ninety-one million, six hundred eighty-one thousand, two hundred eighty".