56777942430930 has 384 divisors, whose sum is σ = 164103952029696. Its totient is φ = 12313080483840.

The previous prime is 56777942430907. The next prime is 56777942430943. The reversal of 56777942430930 is 3903424977765.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2094572437 + ... + 2094599543.

It is an arithmetic number, because the mean of its divisors is an integer number (427354041744).

Almost surely, 2^{56777942430930} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56777942430930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82051976014848).

56777942430930 is an abundant number, since it is smaller than the sum of its proper divisors (107326009598766).

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

56777942430930 is a wasteful number, since it uses less digits than its factorization.

56777942430930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27390 (or 27359 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 66.

The spelling of 56777942430930 in words is "fifty-six trillion, seven hundred seventy-seven billion, nine hundred forty-two million, four hundred thirty thousand, nine hundred thirty".