13226880928320 has 336 divisors, whose sum is σ = 45578263610880. Its totient is φ = 3520717516800.

The previous prime is 13226880928307. The next prime is 13226880928343. The reversal of 13226880928320 is 2382908862231.

13226880928320 is a `hidden beast` number, since 1 + 3 + 2 + 268 + 80 + 9 + 283 + 20 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7069416985 + ... + 7069418855.

It is an arithmetic number, because the mean of its divisors is an integer number (135649594080).

Almost surely, 2^{13226880928320} is an apocalyptic number.

13226880928320 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 13226880928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22789131805440).

13226880928320 is an abundant number, since it is smaller than the sum of its proper divisors (32351382682560).

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

13226880928320 is a wasteful number, since it uses less digits than its factorization.

13226880928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 13226880928320 in words is "thirteen trillion, two hundred twenty-six billion, eight hundred eighty million, nine hundred twenty-eight thousand, three hundred twenty".