13383375475200 has 480 divisors, whose sum is σ = 45370342987200. Its totient is φ = 3476297809920.

The previous prime is 13383375475193. The next prime is 13383375475201. The reversal of 13383375475200 is 257457338331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13383375475200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13383375475201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 282869146 + ... + 282916454.

It is an arithmetic number, because the mean of its divisors is an integer number (94521547890).

Almost surely, 2^{13383375475200} is an apocalyptic number.

13383375475200 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 13383375475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685171493600).

13383375475200 is an abundant number, since it is smaller than the sum of its proper divisors (31986967512000).

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

13383375475200 is a wasteful number, since it uses less digits than its factorization.

13383375475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47532 (or 47511 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 51.

The spelling of 13383375475200 in words is "thirteen trillion, three hundred eighty-three billion, three hundred seventy-five million, four hundred seventy-five thousand, two hundred".