13180427568 has 400 divisors, whose sum is σ = 47835152640. Its totient is φ = 3403814400.

The previous prime is 13180427549. The next prime is 13180427569. The reversal of 13180427568 is 86572408131.

13180427568 is a `hidden beast` number, since 1 + 3 + 1 + 80 + 4 + 2 + 7 + 568 = 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 not an unprimeable number, because it can be changed into a prime (13180427569) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26843803 + ... + 26844293.

Almost surely, 2^13180427568 is an apocalyptic number.

13180427568 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 13180427568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23917576320).

13180427568 is an abundant number, since it is smaller than the sum of its proper divisors (34654725072).

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

13180427568 is a wasteful number, since it uses less digits than its factorization.

13180427568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13180427568 in words is "thirteen billion, one hundred eighty million, four hundred twenty-seven thousand, five hundred sixty-eight".