12810856320 has 320 divisors, whose sum is σ = 46993399200. Its totient is φ = 3323400192.

The previous prime is 12810856309. The next prime is 12810856321. The reversal of 12810856320 is 2365801821.

It is a happy number.

12810856320 is a `hidden beast` number, since 1 + 2 + 8 + 10 + 8 + 5 + 632 + 0 = 666.

12810856320 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12810856321) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1914741 + ... + 1921419.

Almost surely, 2^12810856320 is an apocalyptic number.

12810856320 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 12810856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496699600).

12810856320 is an abundant number, since it is smaller than the sum of its proper divisors (34182542880).

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

12810856320 is an equidigital number, since it uses as much as digits as its factorization.

12810856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12810856320 in words is "twelve billion, eight hundred ten million, eight hundred fifty-six thousand, three hundred twenty".