13087872000 has 704 divisors, whose sum is σ = 55384942080. Its totient is φ = 2985984000.

The previous prime is 13087871971. The next prime is 13087872023. The reversal of 13087872000 is 27878031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24191730 + ... + 24192270.

Almost surely, 2^13087872000 is an apocalyptic number.

13087872000 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 13087872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27692471040).

13087872000 is an abundant number, since it is smaller than the sum of its proper divisors (42297070080).

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

13087872000 is an equidigital number, since it uses as much as digits as its factorization.

13087872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 13087872000 in words is "thirteen billion, eighty-seven million, eight hundred seventy-two thousand".