13116660800 has 126 divisors (see below), whose sum is σ = 33741641178. Its totient is φ = 5018224640.

The previous prime is 13116660761. The next prime is 13116660803. The reversal of 13116660800 is 806661131.

It can be written as a sum of positive squares in 3 ways, for example, as 3642363904 + 9474296896 = 60352^2 + 97336^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13116660803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 838652 + ... + 854148.

It is an arithmetic number, because the mean of its divisors is an integer number (267790803).

Almost surely, 2^13116660800 is an apocalyptic number.

13116660800 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 13116660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870820589).

13116660800 is an abundant number, since it is smaller than the sum of its proper divisors (20624980378).

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

13116660800 is a wasteful number, since it uses less digits than its factorization.

13116660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15565 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 13116660800 in words is "thirteen billion, one hundred sixteen million, six hundred sixty thousand, eight hundred".