13160427305688 has 256 divisors, whose sum is σ = 39608542512000. Its totient is φ = 4024764039168.

The previous prime is 13160427305659. The next prime is 13160427305689. The reversal of 13160427305688 is 88650372406131.

13160427305688 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 0 + 4 + 2 + 73 + 0 + 568 + 8 = 666.

13160427305688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13160427305689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381300720 + ... + 381335232.

Almost surely, 2^{13160427305688} is an apocalyptic number.

13160427305688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13160427305688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804271256000).

13160427305688 is an abundant number, since it is smaller than the sum of its proper divisors (26448115206312).

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

13160427305688 is a wasteful number, since it uses less digits than its factorization.

13160427305688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35363 (or 35353 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13160427305688 in words is "thirteen trillion, one hundred sixty billion, four hundred twenty-seven million, three hundred five thousand, six hundred eighty-eight".