12864588784200 has 432 divisors, whose sum is σ = 44937997048620. Its totient is φ = 3297955799040.

The previous prime is 12864588784193. The next prime is 12864588784207. The reversal of 12864588784200 is 248788546821.

12864588784200 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 4 + 588 + 7 + 8 + 42 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12864588784193) and next prime (12864588784207).

It can be written as a sum of positive squares in 18 ways, for example, as 1377491879556 + 11487096904644 = 1173666^2 + 3389262^2 .

It is not an unprimeable number, because it can be changed into a prime (12864588784207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 352697164 + ... + 352733636.

Almost surely, 2^{12864588784200} is an apocalyptic number.

12864588784200 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 12864588784200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22468998524310).

12864588784200 is an abundant number, since it is smaller than the sum of its proper divisors (32073408264420).

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

12864588784200 is a wasteful number, since it uses less digits than its factorization.

12864588784200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36786 (or 36745 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 12864588784200 in words is "twelve trillion, eight hundred sixty-four billion, five hundred eighty-eight million, seven hundred eighty-four thousand, two hundred".