12797858304 has 480 divisors, whose sum is σ = 47631534720. Its totient is φ = 3321077760.

The previous prime is 12797858303. The next prime is 12797858317. The reversal of 12797858304 is 40385879721.

It is a happy number.

12797858304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12797858303) by changing a digit.

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, 11708382 + ... + 11709474.

It is an arithmetic number, because the mean of its divisors is an integer number (99232364).

Almost surely, 2^12797858304 is an apocalyptic number.

12797858304 is a gapful number since it is divisible by the number (14) 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 12797858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23815767360).

12797858304 is an abundant number, since it is smaller than the sum of its proper divisors (34833676416).

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

12797858304 is a wasteful number, since it uses less digits than its factorization.

12797858304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 12797858304 in words is "twelve billion, seven hundred ninety-seven million, eight hundred fifty-eight thousand, three hundred four".