27768686275 has 48 divisors (see below), whose sum is σ = 37956999168. Its totient is φ = 20151146400.

The previous prime is 27768686251. The next prime is 27768686327. The reversal of 27768686275 is 57268686772.

It is not a de Polignac number, because 27768686275 - 2¹⁷ = 27768555203 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 28715842 + ... + 28716808.

It is an arithmetic number, because the mean of its divisors is an integer number (790770816).

Almost surely, 2^27768686275 is an apocalyptic number.

27768686275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27768686275 is a deficient number, since it is larger than the sum of its proper divisors (10188312893).

27768686275 is an equidigital number, since it uses as much as digits as its factorization.

27768686275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1846 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 64.

The spelling of 27768686275 in words is "twenty-seven billion, seven hundred sixty-eight million, six hundred eighty-six thousand, two hundred seventy-five".