56786664727872 has 672 divisors, whose sum is σ = 179897423247360. Its totient is φ = 17699091701760.

The previous prime is 56786664727853. The next prime is 56786664727883. The reversal of 56786664727872 is 27872746668765.

56786664727872 is digitally balanced in base 2, because in such base 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).

Its product of digits (15931883520) is a multiple of the sum of its prime factors (2401).

It is a junction number, because it is equal to n+sod(n) for n = 56786664727791 and 56786664727800.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 37091223747 + ... + 37091225277.

It is an arithmetic number, because the mean of its divisors is an integer number (267704498880).

Almost surely, 2^{56786664727872} 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 56786664727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89948711623680).

56786664727872 is an abundant number, since it is smaller than the sum of its proper divisors (123110758519488).

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

56786664727872 is a wasteful number, since it uses less digits than its factorization.

56786664727872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2379 counting only the distinct ones).

The product of its digits is 15931883520, while the sum is 81.

The spelling of 56786664727872 in words is "fifty-six trillion, seven hundred eighty-six billion, six hundred sixty-four million, seven hundred twenty-seven thousand, eight hundred seventy-two".