13278329932608 has 784 divisors, whose sum is σ = 44336455497600. Its totient is φ = 3915655188480.

The previous prime is 13278329932589. The next prime is 13278329932613. The reversal of 13278329932608 is 80623992387231.

13278329932608 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 83 + 299 + 3 + 260 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2444911653 + ... + 2444917083.

It is an arithmetic number, because the mean of its divisors is an integer number (56551601400).

Almost surely, 2^{13278329932608} is an apocalyptic number.

13278329932608 is a gapful number since it is divisible by the number (18) 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 13278329932608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22168227748800).

13278329932608 is an abundant number, since it is smaller than the sum of its proper divisors (31058125564992).

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

13278329932608 is a wasteful number, since it uses less digits than its factorization.

13278329932608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 13278329932608 in words is "thirteen trillion, two hundred seventy-eight billion, three hundred twenty-nine million, nine hundred thirty-two thousand, six hundred eight".