13275009600 has 168 divisors, whose sum is σ = 43706369280. Its totient is φ = 3527546880.

The previous prime is 13275009533. The next prime is 13275009619. The reversal of 13275009600 is 690057231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401681 + ... + 1411119.

It is an arithmetic number, because the mean of its divisors is an integer number (260156960).

Almost surely, 2^13275009600 is an apocalyptic number.

13275009600 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 13275009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21853184640).

13275009600 is an abundant number, since it is smaller than the sum of its proper divisors (30431359680).

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

13275009600 is a wasteful number, since it uses less digits than its factorization.

13275009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9757 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 13275009600 in words is "thirteen billion, two hundred seventy-five million, nine thousand, six hundred".