12857560012800 has 864 divisors, whose sum is σ = 48332068424640. Its totient is φ = 3387101184000.

The previous prime is 12857560012793. The next prime is 12857560012807. The reversal of 12857560012800 is 821006575821.

12857560012800 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 7 + 560 + 0 + 1 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12857560012793) and next prime (12857560012807).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12857560012807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1032646575 + ... + 1032659025.

It is an arithmetic number, because the mean of its divisors is an integer number (55939894010).

Almost surely, 2^{12857560012800} is an apocalyptic number.

12857560012800 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 12857560012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24166034212320).

12857560012800 is an abundant number, since it is smaller than the sum of its proper divisors (35474508411840).

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

12857560012800 is an equidigital number, since it uses as much as digits as its factorization.

12857560012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12581 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 12857560012800 in words is "twelve trillion, eight hundred fifty-seven billion, five hundred sixty million, twelve thousand, eight hundred".