13187330956800 has 6480 divisors, whose sum is σ = 70564549111056. Its totient is φ = 2303852544000.

The previous prime is 13187330956781. The next prime is 13187330956829. The reversal of 13187330956800 is 865903378131.

13187330956800 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 73 + 3 + 0 + 9 + 568 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 425397772785 + ... + 425397772815.

Almost surely, 2^{13187330956800} is an apocalyptic number.

13187330956800 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 13187330956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35282274555528).

13187330956800 is an abundant number, since it is smaller than the sum of its proper divisors (57377218154256).

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

13187330956800 is a wasteful number, since it uses less digits than its factorization.

13187330956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13187330956800 in words is "thirteen trillion, one hundred eighty-seven billion, three hundred thirty million, nine hundred fifty-six thousand, eight hundred".