13078906503936 has 1152 divisors, whose sum is σ = 46514506752000. Its totient is φ = 3230595809280.

The previous prime is 13078906503917. The next prime is 13078906503961. The reversal of 13078906503936 is 63930560987031.

It is a self number, because there is not a number n which added to its sum of digits gives 13078906503936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15776726370 + ... + 15776727198.

It is an arithmetic number, because the mean of its divisors is an integer number (40377176000).

Almost surely, 2^{13078906503936} is an apocalyptic number.

13078906503936 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 13078906503936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23257253376000).

13078906503936 is an abundant number, since it is smaller than the sum of its proper divisors (33435600248064).

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

13078906503936 is a wasteful number, since it uses less digits than its factorization.

13078906503936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 13078906503936 in words is "thirteen trillion, seventy-eight billion, nine hundred six million, five hundred three thousand, nine hundred thirty-six".