13171579056 has 240 divisors, whose sum is σ = 40242986784. Its totient is φ = 4005421056.

The previous prime is 13171579037. The next prime is 13171579087. The reversal of 13171579056 is 65097517131.

13171579056 is a `hidden beast` number, since 1 + 3 + 1 + 71 + 579 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×13171579056² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 16526050 + ... + 16526846.

Almost surely, 2^13171579056 is an apocalyptic number.

13171579056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 114767×114768.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13171579056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20121493392).

13171579056 is an abundant number, since it is smaller than the sum of its proper divisors (27071407728).

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

13171579056 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (13171579055) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1019).

13171579056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 13171579056 in words is "thirteen billion, one hundred seventy-one million, five hundred seventy-nine thousand, fifty-six".