12798976320 has 448 divisors, whose sum is σ = 51493155840. Its totient is φ = 2964750336.

The previous prime is 12798976291. The next prime is 12798976321. The reversal of 12798976320 is 2367989721.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12798976321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1906089 + ... + 1912791.

It is an arithmetic number, because the mean of its divisors is an integer number (114940080).

Almost surely, 2^12798976320 is an apocalyptic number.

12798976320 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 12798976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25746577920).

12798976320 is an abundant number, since it is smaller than the sum of its proper divisors (38694179520).

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

12798976320 is a wasteful number, since it uses less digits than its factorization.

12798976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12798976320 in words is "twelve billion, seven hundred ninety-eight million, nine hundred seventy-six thousand, three hundred twenty".