56845305792 has 448 divisors, whose sum is σ = 188969172480. Its totient is φ = 16605388800.

The previous prime is 56845305779. The next prime is 56845305809. The reversal of 56845305792 is 29750354865.

56845305792 is a `hidden beast` number, since 5 + 68 + 4 + 5 + 3 + 0 + 579 + 2 = 666.

56845305792 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92131468 + ... + 92132084.

Almost surely, 2^56845305792 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 56845305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94484586240).

56845305792 is an abundant number, since it is smaller than the sum of its proper divisors (132123866688).

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

56845305792 is a wasteful number, since it uses less digits than its factorization.

56845305792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 56845305792 in words is "fifty-six billion, eight hundred forty-five million, three hundred five thousand, seven hundred ninety-two".