13799200900 has 81 divisors (see below), whose sum is σ = 31855407087. Its totient is φ = 5187475200.

The previous prime is 13799200873. The next prime is 13799200901. The reversal of 13799200900 is 900299731.

The square root of 13799200900 is 117470.

It is a perfect power (a square), and thus also a powerful number.

13799200900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 322777156 + 13476423744 = 17966^2 + 116088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13799200901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19969555 + ... + 19970245.

Almost surely, 2^13799200900 is an apocalyptic number.

13799200900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13799200900 is the 117470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13799200900

13799200900 is an abundant number, since it is smaller than the sum of its proper divisors (18056206187).

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

13799200900 is an equidigital number, since it uses as much as digits as its factorization.

13799200900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The spelling of 13799200900 in words is "thirteen billion, seven hundred ninety-nine million, two hundred thousand, nine hundred".