56891855623680 has 5120 divisors, whose sum is σ = 281979209318400. Its totient is φ = 10510663680000.

The previous prime is 56891855623633. The next prime is 56891855623693. The reversal of 56891855623680 is 8632655819865.

56891855623680 is a `hidden beast` number, since 5 + 6 + 8 + 9 + 1 + 8 + 556 + 2 + 3 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56891855623599 and 56891855623608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 141874951480 + ... + 141874951880.

It is an arithmetic number, because the mean of its divisors is an integer number (55074064320).

Almost surely, 2^{56891855623680} 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 56891855623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140989604659200).

56891855623680 is an abundant number, since it is smaller than the sum of its proper divisors (225087353694720).

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

56891855623680 is a wasteful number, since it uses less digits than its factorization.

56891855623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 56891855623680 in words is "fifty-six trillion, eight hundred ninety-one billion, eight hundred fifty-five million, six hundred twenty-three thousand, six hundred eighty".