12816576800 has 72 divisors (see below), whose sum is σ = 31598454132. Its totient is φ = 5075840000.

The previous prime is 12816576793. The next prime is 12816576841. The reversal of 12816576800 is 867561821.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4900560016 + 7916016784 = 70004^2 + 88972^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1490 + ... + 160110.

Almost surely, 2^12816576800 is an apocalyptic number.

12816576800 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 12816576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799227066).

12816576800 is an abundant number, since it is smaller than the sum of its proper divisors (18781877332).

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

12816576800 is a wasteful number, since it uses less digits than its factorization.

12816576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158742 (or 158729 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 12816576800 in words is "twelve billion, eight hundred sixteen million, five hundred seventy-six thousand, eight hundred".