13027971024768 has 1024 divisors, whose sum is σ = 43418621030400. Its totient is φ = 3380930150400.

The previous prime is 13027971024751. The next prime is 13027971024779. The reversal of 13027971024768 is 86742017972031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16853778430 + ... + 16853779202.

It is an arithmetic number, because the mean of its divisors is an integer number (42400997100).

Almost surely, 2^{13027971024768} 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 13027971024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21709310515200).

13027971024768 is an abundant number, since it is smaller than the sum of its proper divisors (30390650005632).

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

13027971024768 is a wasteful number, since it uses less digits than its factorization.

13027971024768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

Adding to 13027971024768 its reverse (86742017972031), we get a palindrome (99769988996799).

The spelling of 13027971024768 in words is "thirteen trillion, twenty-seven billion, nine hundred seventy-one million, twenty-four thousand, seven hundred sixty-eight".