13090636800 has 660 divisors, whose sum is σ = 49755364560. Its totient is φ = 3399598080.

The previous prime is 13090636799. The next prime is 13090636831. The reversal of 13090636800 is 863609031.

It is a happy number.

13090636800 is a `hidden beast` number, since 13 + 0 + 9 + 0 + 636 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 122342347 + ... + 122342453.

It is an arithmetic number, because the mean of its divisors is an integer number (75386916).

Almost surely, 2^13090636800 is an apocalyptic number.

13090636800 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 13090636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24877682280).

13090636800 is an abundant number, since it is smaller than the sum of its proper divisors (36664727760).

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

13090636800 is a wasteful number, since it uses less digits than its factorization.

13090636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13090636800 in words is "thirteen billion, ninety million, six hundred thirty-six thousand, eight hundred".