12956751360 has 640 divisors, whose sum is σ = 53582284800. Its totient is φ = 2906357760.

The previous prime is 12956751323. The next prime is 12956751373. The reversal of 12956751360 is 6315765921.

12956751360 is a `hidden beast` number, since 1 + 2 + 9 + 567 + 51 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29514021 + ... + 29514459.

It is an arithmetic number, because the mean of its divisors is an integer number (83722320).

Almost surely, 2^12956751360 is an apocalyptic number.

12956751360 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 12956751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26791142400).

12956751360 is an abundant number, since it is smaller than the sum of its proper divisors (40625533440).

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

12956751360 is an equidigital number, since it uses as much as digits as its factorization.

12956751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 12956751360 in words is "twelve billion, nine hundred fifty-six million, seven hundred fifty-one thousand, three hundred sixty".