12785089693905 has 112 divisors (see below), whose sum is σ = 23414614944336. Its totient is φ = 6697368023040.

The previous prime is 12785089693807. The next prime is 12785089693913. The reversal of 12785089693905 is 50939698058721.

12785089693905 is a `hidden beast` number, since 1 + 27 + 8 + 508 + 9 + 6 + 9 + 3 + 90 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 209888594496 + 12575201099409 = 458136^2 + 3546153^2 .

It is not a de Polignac number, because 12785089693905 - 2¹⁸ = 12785089431761 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 64026799 + ... + 64226171.

It is an arithmetic number, because the mean of its divisors is an integer number (209059062003).

Almost surely, 2^{12785089693905} is an apocalyptic number.

12785089693905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12785089693905 is a deficient number, since it is larger than the sum of its proper divisors (10629525250431).

12785089693905 is an equidigital number, since it uses as much as digits as its factorization.

12785089693905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199710 (or 199695 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 12785089693905 in words is "twelve trillion, seven hundred eighty-five billion, eighty-nine million, six hundred ninety-three thousand, nine hundred five".