13581018360 has 768 divisors, whose sum is σ = 59754240000. Its totient is φ = 2712019968.

The previous prime is 13581018359. The next prime is 13581018383. The reversal of 13581018360 is 6381018531.

13581018360 is a `hidden beast` number, since 1 + 3 + 581 + 0 + 18 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13070721 + ... + 13071759.

It is an arithmetic number, because the mean of its divisors is an integer number (77805000).

Almost surely, 2^13581018360 is an apocalyptic number.

13581018360 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 13581018360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120000).

13581018360 is an abundant number, since it is smaller than the sum of its proper divisors (46173221640).

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

13581018360 is a wasteful number, since it uses less digits than its factorization.

13581018360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13581018360 in words is "thirteen billion, five hundred eighty-one million, eighteen thousand, three hundred sixty".