13398783933600 has 2880 divisors, whose sum is σ = 61227828668160. Its totient is φ = 2811602534400.

The previous prime is 13398783933553. The next prime is 13398783933637. The reversal of 13398783933600 is 633938789331.

13398783933600 is a `hidden beast` number, since 1 + 3 + 39 + 87 + 83 + 93 + 360 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6258188530 + ... + 6258190670.

It is an arithmetic number, because the mean of its divisors is an integer number (21259662732).

Almost surely, 2^{13398783933600} is an apocalyptic number.

13398783933600 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 13398783933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30613914334080).

13398783933600 is an abundant number, since it is smaller than the sum of its proper divisors (47829044734560).

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

13398783933600 is a wasteful number, since it uses less digits than its factorization.

13398783933600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 13398783933600 in words is "thirteen trillion, three hundred ninety-eight billion, seven hundred eighty-three million, nine hundred thirty-three thousand, six hundred".