27011579905 has 16 divisors (see below), whose sum is σ = 34353057744. Its totient is φ = 20318894080.

The previous prime is 27011579893. The next prime is 27011579909. The reversal of 27011579905 is 50997511072.

It is a Cunningham number, because it is equal to 164352²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 10188864 + 27001391041 = 3192^2 + 164321^2 .

It is not a de Polignac number, because 27011579905 - 2¹⁷ = 27011448833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27011579909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59572 + ... + 239941.

It is an arithmetic number, because the mean of its divisors is an integer number (2147066109).

It is a Proth number, since it is equal to 103041 ⋅ 2¹⁸ + 1 and 103041 < 2¹⁸.

Almost surely, 2^27011579905 is an apocalyptic number.

It is an amenable number.

27011579905 is a deficient number, since it is larger than the sum of its proper divisors (7341477839).

27011579905 is a wasteful number, since it uses less digits than its factorization.

27011579905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300596.

The product of its (nonzero) digits is 198450, while the sum is 46.

The spelling of 27011579905 in words is "twenty-seven billion, eleven million, five hundred seventy-nine thousand, nine hundred five".