56794177440 has 1728 divisors, whose sum is σ = 275443773696. Its totient is φ = 10285056000.

The previous prime is 56794177387. The next prime is 56794177457. The reversal of 56794177440 is 4477149765.

It is a happy number.

56794177440 is a `hidden beast` number, since 56 + 79 + 417 + 74 + 40 = 666.

56794177440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1385223820 + ... + 1385223860.

It is an arithmetic number, because the mean of its divisors is an integer number (159400332).

Almost surely, 2^56794177440 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 56794177440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137721886848).

56794177440 is an abundant number, since it is smaller than the sum of its proper divisors (218649596256).

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

56794177440 is a wasteful number, since it uses less digits than its factorization.

56794177440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 56794177440 in words is "fifty-six billion, seven hundred ninety-four million, one hundred seventy-seven thousand, four hundred forty".