13586974260 has 96 divisors (see below), whose sum is σ = 40651269120. Its totient is φ = 3378751488.

The previous prime is 13586974249. The next prime is 13586974267. The reversal of 13586974260 is 6247968531.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13586974267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50077 + ... + 172283.

It is an arithmetic number, because the mean of its divisors is an integer number (423450720).

It is a 1-persistent number, because it is pandigital, but 2⋅13586974260 = 27173948520 is not.

Almost surely, 2^13586974260 is an apocalyptic number.

13586974260 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 13586974260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20325634560).

13586974260 is an abundant number, since it is smaller than the sum of its proper divisors (27064294860).

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

13586974260 is a wasteful number, since it uses less digits than its factorization.

13586974260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122345 (or 122343 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 13586974260 in words is "thirteen billion, five hundred eighty-six million, nine hundred seventy-four thousand, two hundred sixty".