13388816678960 has 40 divisors (see below), whose sum is σ = 31142062167360. Its totient is φ = 5353279206912.

The previous prime is 13388816678957. The next prime is 13388816679131. The reversal of 13388816678960 is 6987661888331.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 34924805 + ... + 35306084.

It is an arithmetic number, because the mean of its divisors is an integer number (778551554184).

Almost surely, 2^{13388816678960} is an apocalyptic number.

13388816678960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13388816678960 is an abundant number, since it is smaller than the sum of its proper divisors (17753245488400).

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

13388816678960 is a wasteful number, since it uses less digits than its factorization.

13388816678960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70233285 (or 70233279 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 74.

The spelling of 13388816678960 in words is "thirteen trillion, three hundred eighty-eight billion, eight hundred sixteen million, six hundred seventy-eight thousand, nine hundred sixty".