13079291200 has 84 divisors (see below), whose sum is σ = 32261337052. Its totient is φ = 5219020800.

The previous prime is 13079291153. The next prime is 13079291213. The reversal of 13079291200 is 219297031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7608026176 + 5471265024 = 87224^2 + 73968^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 663892 + ... + 683308.

Almost surely, 2^13079291200 is an apocalyptic number.

13079291200 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 13079291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130668526).

13079291200 is an abundant number, since it is smaller than the sum of its proper divisors (19182045852).

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

13079291200 is a wasteful number, since it uses less digits than its factorization.

13079291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19860 (or 19845 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 13079291200 in words is "thirteen billion, seventy-nine million, two hundred ninety-one thousand, two hundred".