12710556800 has 72 divisors (see below), whose sum is σ = 31414809915. Its totient is φ = 5081671680.

The previous prime is 12710556799. The next prime is 12710556809. The reversal of 12710556800 is 865501721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12710556800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 7608026176 + 5102530624 = 87224^2 + 71432^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=79720.

It is not an unprimeable number, because it can be changed into a prime (12710556809) 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 8 ways as a sum of consecutive naturals, for example, 6376604 + ... + 6378596.

Almost surely, 2^12710556800 is an apocalyptic number.

12710556800 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 12710556800

12710556800 is an abundant number, since it is smaller than the sum of its proper divisors (18704253115).

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

12710556800 is an frugal number, since it uses more digits than its factorization.

12710556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The spelling of 12710556800 in words is "twelve billion, seven hundred ten million, five hundred fifty-six thousand, eight hundred".