56779937280 has 1200 divisors, whose sum is σ = 233908278912. Its totient is φ = 13138329600.

The previous prime is 56779937267. The next prime is 56779937303. The reversal of 56779937280 is 8273997765.

It is a super-2 number, since 2×56779937280² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 777807324 + ... + 777807396.

Almost surely, 2^56779937280 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 56779937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116954139456).

56779937280 is an abundant number, since it is smaller than the sum of its proper divisors (177128341632).

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

56779937280 is a wasteful number, since it uses less digits than its factorization.

56779937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 56779937280 in words is "fifty-six billion, seven hundred seventy-nine million, nine hundred thirty-seven thousand, two hundred eighty".