13187908800 has 252 divisors, whose sum is σ = 51134732376. Its totient is φ = 3197030400.

The previous prime is 13187908793. The next prime is 13187908807. The reversal of 13187908800 is 880978131.

It is an interprime number because it is at equal distance from previous prime (13187908793) and next prime (13187908807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13187908807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116772 + ... + 200028.

Almost surely, 2^13187908800 is an apocalyptic number.

13187908800 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 13187908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25567366188).

13187908800 is an abundant number, since it is smaller than the sum of its proper divisors (37946823576).

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

13187908800 is a wasteful number, since it uses less digits than its factorization.

13187908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83296 (or 83278 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 13187908800 in words is "thirteen billion, one hundred eighty-seven million, nine hundred eight thousand, eight hundred".