13253875200 has 360 divisors, whose sum is σ = 47935341168. Its totient is φ = 3496919040.

The previous prime is 13253875199. The next prime is 13253875231. The reversal of 13253875200 is 257835231.

It is a happy number.

13253875200 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 87 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11865042 + ... + 11866158.

Almost surely, 2^13253875200 is an apocalyptic number.

13253875200 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 13253875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23967670584).

13253875200 is an abundant number, since it is smaller than the sum of its proper divisors (34681465968).

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

13253875200 is a wasteful number, since it uses less digits than its factorization.

13253875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 13253875200 in words is "thirteen billion, two hundred fifty-three million, eight hundred seventy-five thousand, two hundred".