13083375830400 has 768 divisors, whose sum is σ = 48974910196800. Its totient is φ = 3452753018880.

The previous prime is 13083375830333. The next prime is 13083375830419. The reversal of 13083375830400 is 403857338031.

13083375830400 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 337 + 5 + 8 + 304 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678835164 + ... + 678854436.

Almost surely, 2^{13083375830400} is an apocalyptic number.

13083375830400 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 13083375830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24487455098400).

13083375830400 is an abundant number, since it is smaller than the sum of its proper divisors (35891534366400).

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

13083375830400 is an frugal number, since it uses more digits than its factorization.

13083375830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19415 (or 19380 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13083375830400 in words is "thirteen trillion, eighty-three billion, three hundred seventy-five million, eight hundred thirty thousand, four hundred".