13299957072 has 120 divisors (see below), whose sum is σ = 39468462696. Its totient is φ = 4166443008.

The previous prime is 13299956981. The next prime is 13299957103. The reversal of 13299957072 is 27075999231.

13299957072 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 7669555776 + 5630401296 = 87576^2 + 75036^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1849548 + ... + 1856724.

Almost surely, 2^13299957072 is an apocalyptic number.

13299957072 is a gapful number since it is divisible by the number (12) 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 13299957072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19734231348).

13299957072 is an abundant number, since it is smaller than the sum of its proper divisors (26168505624).

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

13299957072 is a wasteful number, since it uses less digits than its factorization.

13299957072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 13299957072 in words is "thirteen billion, two hundred ninety-nine million, nine hundred fifty-seven thousand, seventy-two".