12806368265600 has 576 divisors, whose sum is σ = 41717574435600. Its totient is φ = 3839676825600.

The previous prime is 12806368265597. The next prime is 12806368265611. The reversal of 12806368265600 is 656286360821.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 38564270 + ... + 38894930.

Almost surely, 2^{12806368265600} is an apocalyptic number.

12806368265600 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 12806368265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20858787217800).

12806368265600 is an abundant number, since it is smaller than the sum of its proper divisors (28911206170000).

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

12806368265600 is a wasteful number, since it uses less digits than its factorization.

12806368265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330731 (or 330707 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 12806368265600 in words is "twelve trillion, eight hundred six billion, three hundred sixty-eight million, two hundred sixty-five thousand, six hundred".