13087530499200 has 384 divisors, whose sum is σ = 45532476211200. Its totient is φ = 3298879180800.

The previous prime is 13087530499187. The next prime is 13087530499217. The reversal of 13087530499200 is 299403578031.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 12285441 + ... + 13308159.

It is an arithmetic number, because the mean of its divisors is an integer number (118574156800).

Almost surely, 2^{13087530499200} is an apocalyptic number.

13087530499200 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 13087530499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766238105600).

13087530499200 is an abundant number, since it is smaller than the sum of its proper divisors (32444945712000).

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

13087530499200 is a wasteful number, since it uses less digits than its factorization.

13087530499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022820 (or 1022803 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 13087530499200 in words is "thirteen trillion, eighty-seven billion, five hundred thirty million, four hundred ninety-nine thousand, two hundred".