13257628260 has 96 divisors (see below), whose sum is σ = 39135059712. Its totient is φ = 3346759680.

The previous prime is 13257628247. The next prime is 13257628273. The reversal of 13257628260 is 6282675231.

13257628260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13257628247) and next prime (13257628273).

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, 84340 + ... + 183380.

It is an arithmetic number, because the mean of its divisors is an integer number (407656872).

Almost surely, 2^13257628260 is an apocalyptic number.

13257628260 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 13257628260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19567529856).

13257628260 is an abundant number, since it is smaller than the sum of its proper divisors (25877431452).

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

13257628260 is a wasteful number, since it uses less digits than its factorization.

13257628260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99173 (or 99171 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 13257628260 in words is "thirteen billion, two hundred fifty-seven million, six hundred twenty-eight thousand, two hundred sixty".