13187258800 has 120 divisors (see below), whose sum is σ = 32711071536. Its totient is φ = 5105157120.

The previous prime is 13187258767. The next prime is 13187258839. The reversal of 13187258800 is 885278131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2913339 + ... + 2917861.

Almost surely, 2^13187258800 is an apocalyptic number.

13187258800 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 13187258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355535768).

13187258800 is an abundant number, since it is smaller than the sum of its proper divisors (19523812736).

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

13187258800 is a wasteful number, since it uses less digits than its factorization.

13187258800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 13187258800 in words is "thirteen billion, one hundred eighty-seven million, two hundred fifty-eight thousand, eight hundred".