56746269992880 has 2400 divisors, whose sum is σ = 229829629962240. Its totient is φ = 12945733632000.

The previous prime is 56746269992873. The next prime is 56746269992947. The reversal of 56746269992880 is 8829996264765.

56746269992880 is a `hidden beast` number, since 5 + 6 + 7 + 462 + 69 + 9 + 92 + 8 + 8 + 0 = 666.

56746269992880 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 56746269992880.

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 479 ways as a sum of consecutive naturals, for example, 82121953335 + ... + 82121954025.

Almost surely, 2^{56746269992880} 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 56746269992880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114914814981120).

56746269992880 is an abundant number, since it is smaller than the sum of its proper divisors (173083359969360).

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

56746269992880 is a wasteful number, since it uses less digits than its factorization.

56746269992880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 56746269992880 in words is "fifty-six trillion, seven hundred forty-six billion, two hundred sixty-nine million, nine hundred ninety-two thousand, eight hundred eighty".