56170558080 has 1280 divisors, whose sum is σ = 252961632000. Its totient is φ = 11851370496.

The previous prime is 56170558069. The next prime is 56170558099. The reversal of 56170558080 is 8085507165.

56170558080 is a `hidden beast` number, since 5 + 6 + 17 + 0 + 558 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4320812154 + ... + 4320812166.

It is an arithmetic number, because the mean of its divisors is an integer number (197626275).

Almost surely, 2^56170558080 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 56170558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126480816000).

56170558080 is an abundant number, since it is smaller than the sum of its proper divisors (196791073920).

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

56170558080 is an frugal number, since it uses more digits than its factorization.

56170558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 56170558080 in words is "fifty-six billion, one hundred seventy million, five hundred fifty-eight thousand, eighty".