13038074504 has 128 divisors (see below), whose sum is σ = 31968518400. Its totient is φ = 4845173760.

The previous prime is 13038074501. The next prime is 13038074513. The reversal of 13038074504 is 40547083031.

It is not an unprimeable number, because it can be changed into a prime (13038074501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772799 + ... + 789489.

It is an arithmetic number, because the mean of its divisors is an integer number (249754050).

Almost surely, 2^13038074504 is an apocalyptic number.

13038074504 is a gapful number since it is divisible by the number (14) 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 13038074504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984259200).

13038074504 is an abundant number, since it is smaller than the sum of its proper divisors (18930443896).

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

13038074504 is a wasteful number, since it uses less digits than its factorization.

13038074504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16783 (or 16779 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 13038074504 in words is "thirteen billion, thirty-eight million, seventy-four thousand, five hundred four".