13006181160 has 384 divisors, whose sum is σ = 51409313280. Its totient is φ = 2783821824.

The previous prime is 13006181137. The next prime is 13006181183. The reversal of 13006181160 is 6118160031.

13006181160 is a `hidden beast` number, since 1 + 30 + 0 + 618 + 1 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13006181137) and next prime (13006181183).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9981069 + ... + 9982371.

It is an arithmetic number, because the mean of its divisors is an integer number (133878420).

Almost surely, 2^13006181160 is an apocalyptic number.

13006181160 is a gapful number since it is divisible by the number (10) 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 13006181160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704656640).

13006181160 is an abundant number, since it is smaller than the sum of its proper divisors (38403132120).

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

13006181160 is a wasteful number, since it uses less digits than its factorization.

13006181160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 13006181160 in words is "thirteen billion, six million, one hundred eighty-one thousand, one hundred sixty".