12791663280 has 240 divisors, whose sum is σ = 47282036256. Its totient is φ = 3073351680.

The previous prime is 12791663257. The next prime is 12791663309. The reversal of 12791663280 is 8236619721.

12791663280 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 1 + 6 + 632 + 8 + 0 = 666.

12791663280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) 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 (45).

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, 887814 + ... + 902106.

Almost surely, 2^12791663280 is an apocalyptic number.

12791663280 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 12791663280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641018128).

12791663280 is an abundant number, since it is smaller than the sum of its proper divisors (34490372976).

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

12791663280 is a wasteful number, since it uses less digits than its factorization.

12791663280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14436 (or 14427 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12791663280 in words is "twelve billion, seven hundred ninety-one million, six hundred sixty-three thousand, two hundred eighty".