13252408800 has 144 divisors (see below), whose sum is σ = 45407093760. Its totient is φ = 3347965440.

The previous prime is 13252408759. The next prime is 13252408811. The reversal of 13252408800 is 880425231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99712 + ... + 190911.

It is an arithmetic number, because the mean of its divisors is an integer number (315327040).

Almost surely, 2^13252408800 is an apocalyptic number.

13252408800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13252408800 is an abundant number, since it is smaller than the sum of its proper divisors (32154684960).

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

13252408800 is a wasteful number, since it uses less digits than its factorization.

13252408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290665 (or 290652 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 13252408800 in words is "thirteen billion, two hundred fifty-two million, four hundred eight thousand, eight hundred".