13675948260 has 96 divisors (see below), whose sum is σ = 41701806720. Its totient is φ = 3328545792.

The previous prime is 13675948259. The next prime is 13675948289. The reversal of 13675948260 is 6284957631.

13675948260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29082 + ... + 167921.

It is an arithmetic number, because the mean of its divisors is an integer number (434393820).

It is a 1-persistent number, because it is pandigital, but 2⋅13675948260 = 27351896520 is not.

Almost surely, 2^13675948260 is an apocalyptic number.

13675948260 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 13675948260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20850903360).

13675948260 is an abundant number, since it is smaller than the sum of its proper divisors (28025858460).

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

13675948260 is a wasteful number, since it uses less digits than its factorization.

13675948260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197117 (or 197115 counting only the distinct ones).

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

The spelling of 13675948260 in words is "thirteen billion, six hundred seventy-five million, nine hundred forty-eight thousand, two hundred sixty".