56777350416160 has 288 divisors, whose sum is σ = 148157982750960. Its totient is φ = 20545773895680.

The previous prime is 56777350416151. The next prime is 56777350416179. The reversal of 56777350416160 is 6161405377765.

It can be written as a sum of positive squares in 8 ways, for example, as 3163147618576 + 53614202797584 = 1778524^2 + 7322172^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56777350416095 and 56777350416104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12580842064 + ... + 12580846576.

Almost surely, 2^{56777350416160} 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 56777350416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74078991375480).

56777350416160 is an abundant number, since it is smaller than the sum of its proper divisors (91380632334800).

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

56777350416160 is a wasteful number, since it uses less digits than its factorization.

56777350416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 58.

The spelling of 56777350416160 in words is "fifty-six trillion, seven hundred seventy-seven billion, three hundred fifty million, four hundred sixteen thousand, one hundred sixty".