13272828160 has 144 divisors (see below), whose sum is σ = 32742598896. Its totient is φ = 5152702464.

The previous prime is 13272828139. The next prime is 13272828203. The reversal of 13272828160 is 6182827231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 570636544 + 12702191616 = 23888^2 + 112704^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6579472 + ... + 6581488.

It is an arithmetic number, because the mean of its divisors is an integer number (227379159).

Almost surely, 2^13272828160 is an apocalyptic number.

13272828160 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 13272828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371299448).

13272828160 is an abundant number, since it is smaller than the sum of its proper divisors (19469770736).

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

13272828160 is an equidigital number, since it uses as much as digits as its factorization.

13272828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 13272828160 in words is "thirteen billion, two hundred seventy-two million, eight hundred twenty-eight thousand, one hundred sixty".