12860288784 has 160 divisors (see below), whose sum is σ = 42234241280. Its totient is φ = 3670272000.

The previous prime is 12860288761. The next prime is 12860288813. The reversal of 12860288784 is 48788206821.

12860288784 is a `hidden beast` number, since 1 + 28 + 602 + 8 + 8 + 7 + 8 + 4 = 666.

12860288784 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 a self number, because there is not a number n which added to its sum of digits gives 12860288784.

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 31 ways as a sum of consecutive naturals, for example, 3630054 + ... + 3633594.

It is an arithmetic number, because the mean of its divisors is an integer number (263964008).

Almost surely, 2^12860288784 is an apocalyptic number.

12860288784 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 12860288784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117120640).

12860288784 is an abundant number, since it is smaller than the sum of its proper divisors (29373952496).

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

12860288784 is a wasteful number, since it uses less digits than its factorization.

12860288784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 12860288784 in words is "twelve billion, eight hundred sixty million, two hundred eighty-eight thousand, seven hundred eighty-four".