13160885622528 has 288 divisors, whose sum is σ = 40209005491200. Its totient is φ = 3743558369280.

The previous prime is 13160885622523. The next prime is 13160885622707. The reversal of 13160885622528 is 82522658806131.

It is a super-2 number, since 2×13160885622528² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13160885622523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2250105748 + ... + 2250111596.

It is an arithmetic number, because the mean of its divisors is an integer number (139614602400).

Almost surely, 2^{13160885622528} 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 13160885622528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20104502745600).

13160885622528 is an abundant number, since it is smaller than the sum of its proper divisors (27048119868672).

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

13160885622528 is a wasteful number, since it uses less digits than its factorization.

13160885622528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 13160885622528 in words is "thirteen trillion, one hundred sixty billion, eight hundred eighty-five million, six hundred twenty-two thousand, five hundred twenty-eight".