13383000576 has 640 divisors, whose sum is σ = 47516958720. Its totient is φ = 3671654400.

The previous prime is 13383000563. The next prime is 13383000619. The reversal of 13383000576 is 67500038331.

13383000576 is a `hidden beast` number, since 1 + 3 + 3 + 83 + 0 + 0 + 0 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13383000576.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80137645 + ... + 80137811.

It is an arithmetic number, because the mean of its divisors is an integer number (74245248).

Almost surely, 2^13383000576 is an apocalyptic number.

13383000576 is a gapful number since it is divisible by the number (16) 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 13383000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758479360).

13383000576 is an abundant number, since it is smaller than the sum of its proper divisors (34133958144).

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

13383000576 is a wasteful number, since it uses less digits than its factorization.

13383000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13383000576 in words is "thirteen billion, three hundred eighty-three million, five hundred seventy-six", and thus it is an aban number.