13275688400 has 60 divisors (see below), whose sum is σ = 34348304172. Its totient is φ = 4901790720.

The previous prime is 13275688367. The next prime is 13275688427. The reversal of 13275688400 is 488657231.

It can be written as a sum of positive squares in 6 ways, for example, as 3401688976 + 9873999424 = 58324^2 + 99368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1271309 + ... + 1281708.

Almost surely, 2^13275688400 is an apocalyptic number.

13275688400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13275688400 is an abundant number, since it is smaller than the sum of its proper divisors (21072615772).

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

13275688400 is a wasteful number, since it uses less digits than its factorization.

13275688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553048 (or 2553037 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 13275688400 in words is "thirteen billion, two hundred seventy-five million, six hundred eighty-eight thousand, four hundred".