13027936768 has 320 divisors, whose sum is σ = 33940684800. Its totient is φ = 4849827840.

The previous prime is 13027936729. The next prime is 13027936783. The reversal of 13027936768 is 86763972031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146381268 + ... + 146381356.

It is an arithmetic number, because the mean of its divisors is an integer number (106064640).

Almost surely, 2^13027936768 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 13027936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970342400).

13027936768 is an abundant number, since it is smaller than the sum of its proper divisors (20912748032).

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

13027936768 is an equidigital number, since it uses as much as digits as its factorization.

13027936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 13027936768 in words is "thirteen billion, twenty-seven million, nine hundred thirty-six thousand, seven hundred sixty-eight".