56768856073920 has 896 divisors, whose sum is σ = 204009084691200. Its totient is φ = 14858846208000.

The previous prime is 56768856073879. The next prime is 56768856073949. The reversal of 56768856073920 is 2937065886765.

It is a happy number.

56768856073920 is a `hidden beast` number, since 5 + 6 + 7 + 6 + 8 + 8 + 5 + 607 + 3 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60328220650 + ... + 60328221590.

Almost surely, 2^{56768856073920} 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 56768856073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102004542345600).

56768856073920 is an abundant number, since it is smaller than the sum of its proper divisors (147240228617280).

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

56768856073920 is a wasteful number, since it uses less digits than its factorization.

56768856073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 56768856073920 in words is "fifty-six trillion, seven hundred sixty-eight billion, eight hundred fifty-six million, seventy-three thousand, nine hundred twenty".