13256160768 has 480 divisors, whose sum is σ = 43663276800. Its totient is φ = 3849043968.

The previous prime is 13256160751. The next prime is 13256160793. The reversal of 13256160768 is 86706165231.

13256160768 is a `hidden beast` number, since 1 + 3 + 25 + 616 + 0 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58397071 + ... + 58397297.

It is an arithmetic number, because the mean of its divisors is an integer number (90965160).

Almost surely, 2^13256160768 is an apocalyptic number.

13256160768 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 13256160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831638400).

13256160768 is an abundant number, since it is smaller than the sum of its proper divisors (30407116032).

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

13256160768 is a wasteful number, since it uses less digits than its factorization.

13256160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13256160768 in words is "thirteen billion, two hundred fifty-six million, one hundred sixty thousand, seven hundred sixty-eight".