13078438320 has 160 divisors (see below), whose sum is σ = 40928523264. Its totient is φ = 3454617600.

The previous prime is 13078438301. The next prime is 13078438333. The reversal of 13078438320 is 2383487031.

It is a Cunningham number, because it is equal to 114361²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13722964 + ... + 13723916.

Almost surely, 2^13078438320 is an apocalyptic number.

13078438320 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 13078438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464261632).

13078438320 is an abundant number, since it is smaller than the sum of its proper divisors (27850084944).

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

13078438320 is a wasteful number, since it uses less digits than its factorization.

13078438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 13078438320 in words is "thirteen billion, seventy-eight million, four hundred thirty-eight thousand, three hundred twenty".