13245795200 has 192 divisors, whose sum is σ = 35989125120. Its totient is φ = 4777113600.

The previous prime is 13245795193. The next prime is 13245795221. The reversal of 13245795200 is 259754231.

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 23 ways as a sum of consecutive naturals, for example, 4468919 + ... + 4471881.

It is an arithmetic number, because the mean of its divisors is an integer number (187443360).

Almost surely, 2^13245795200 is an apocalyptic number.

13245795200 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 13245795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994562560).

13245795200 is an abundant number, since it is smaller than the sum of its proper divisors (22743329920).

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

13245795200 is a wasteful number, since it uses less digits than its factorization.

13245795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 13245795200 in words is "thirteen billion, two hundred forty-five million, seven hundred ninety-five thousand, two hundred".