13378905039904 has 96 divisors (see below), whose sum is σ = 27927041296896. Its totient is φ = 6287398871040.

The previous prime is 13378905039901. The next prime is 13378905039917. The reversal of 13378905039904 is 40993050987331.

It is not an unprimeable number, because it can be changed into a prime (13378905039901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2469797004 + ... + 2469802420.

It is an arithmetic number, because the mean of its divisors is an integer number (290906680176).

Almost surely, 2^{13378905039904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13378905039904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963520648448).

13378905039904 is an abundant number, since it is smaller than the sum of its proper divisors (14548136256992).

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

13378905039904 is a wasteful number, since it uses less digits than its factorization.

13378905039904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10778 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 61.

The spelling of 13378905039904 in words is "thirteen trillion, three hundred seventy-eight billion, nine hundred five million, thirty-nine thousand, nine hundred four".