27805563848673 has 160 divisors (see below), whose sum is σ = 45498704313216. Its totient is φ = 16820534587392.

The previous prime is 27805563848597. The next prime is 27805563848677. The reversal of 27805563848673 is 37684836550872.

27805563848673 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 556 + 3 + 8 + 4 + 8 + 67 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-27805563848673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27805563848677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12126280515 + ... + 12126282807.

Almost surely, 2^{27805563848673} is an apocalyptic number.

It is an amenable number.

27805563848673 is a deficient number, since it is larger than the sum of its proper divisors (17693140464543).

27805563848673 is a wasteful number, since it uses less digits than its factorization.

27805563848673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 27805563848673 in words is "twenty-seven trillion, eight hundred five billion, five hundred sixty-three million, eight hundred forty-eight thousand, six hundred seventy-three".