13057628260 has 96 divisors (see below), whose sum is σ = 29611606752. Its totient is φ = 4818862080.

The previous prime is 13057628257. The next prime is 13057628279. The reversal of 13057628260 is 6282675031.

It can be written as a sum of positive squares in 16 ways, for example, as 984453376 + 12073174884 = 31376^2 + 109878^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4292340 + ... + 4295380.

It is an arithmetic number, because the mean of its divisors is an integer number (308454237).

Almost surely, 2^13057628260 is an apocalyptic number.

13057628260 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 13057628260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805803376).

13057628260 is an abundant number, since it is smaller than the sum of its proper divisors (16553978492).

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

13057628260 is a wasteful number, since it uses less digits than its factorization.

13057628260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 13057628260 in words is "thirteen billion, fifty-seven million, six hundred twenty-eight thousand, two hundred sixty".