13379587200 has 864 divisors, whose sum is σ = 58576050000. Its totient is φ = 2891427840.

The previous prime is 13379587189. The next prime is 13379587217. The reversal of 13379587200 is 278597331.

It is a happy number.

13379587200 is a `hidden beast` number, since 13 + 37 + 9 + 587 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26812551 + ... + 26813049.

Almost surely, 2^13379587200 is an apocalyptic number.

13379587200 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 13379587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29288025000).

13379587200 is an abundant number, since it is smaller than the sum of its proper divisors (45196462800).

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

13379587200 is a wasteful number, since it uses less digits than its factorization.

13379587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13379587200 in words is "thirteen billion, three hundred seventy-nine million, five hundred eighty-seven thousand, two hundred".