56170735128 has 96 divisors (see below), whose sum is σ = 155497305600. Its totient is φ = 18309703104.

The previous prime is 56170735111. The next prime is 56170735141. The reversal of 56170735128 is 82153707165.

It is a happy number.

56170735128 is a `hidden beast` number, since 5 + 61 + 7 + 0 + 73 + 512 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 4402983 + ... + 4415721.

It is an arithmetic number, because the mean of its divisors is an integer number (1619763600).

Almost surely, 2^56170735128 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 56170735128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77748652800).

56170735128 is an abundant number, since it is smaller than the sum of its proper divisors (99326570472).

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

56170735128 is a wasteful number, since it uses less digits than its factorization.

56170735128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14101 (or 14094 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 56170735128 in words is "fifty-six billion, one hundred seventy million, seven hundred thirty-five thousand, one hundred twenty-eight".