12805876960900 has 81 divisors (see below), whose sum is σ = 27885769527469. Its totient is φ = 5104529704960.

The previous prime is 12805876960879. The next prime is 12805876960913. The reversal of 12805876960900 is 906967850821.

The square root of 12805876960900 is 3578530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6977553948036 + 5828323012864 = 2641506^2 + 2414192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16067599302 + ... + 16067600098.

Almost surely, 2^{12805876960900} is an apocalyptic number.

12805876960900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12805876960900 is the 3578530-th square number.

It is an amenable number.

12805876960900 is an abundant number, since it is smaller than the sum of its proper divisors (15079892566569).

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

12805876960900 is an frugal number, since it uses more digits than its factorization.

12805876960900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 12805876960900 in words is "twelve trillion, eight hundred five billion, eight hundred seventy-six million, nine hundred sixty thousand, nine hundred".