13107808800 has 216 divisors, whose sum is σ = 47934025776. Its totient is φ = 3495363840.

The previous prime is 13107808789. The next prime is 13107808807. The reversal of 13107808800 is 880870131.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13107808807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160687 + ... + 228113.

It is an arithmetic number, because the mean of its divisors is an integer number (221916786).

Almost surely, 2^13107808800 is an apocalyptic number.

13107808800 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 13107808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23967012888).

13107808800 is an abundant number, since it is smaller than the sum of its proper divisors (34826216976).

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

13107808800 is an equidigital number, since it uses as much as digits as its factorization.

13107808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67462 (or 67437 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 13107808800 in words is "thirteen billion, one hundred seven million, eight hundred eight thousand, eight hundred".