27971288085 has 16 divisors (see below), whose sum is σ = 48196681344. Its totient is φ = 13770480192.

The previous prime is 27971288069. The next prime is 27971288141. The reversal of 27971288085 is 58088217972.

It is not a de Polignac number, because 27971288085 - 2⁴ = 27971288069 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71721057 + ... + 71721446.

It is an arithmetic number, because the mean of its divisors is an integer number (3012292584).

Almost surely, 2^27971288085 is an apocalyptic number.

It is an amenable number.

27971288085 is a deficient number, since it is larger than the sum of its proper divisors (20225393259).

27971288085 is a wasteful number, since it uses less digits than its factorization.

27971288085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143442524.

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 27971288085 in words is "twenty-seven billion, nine hundred seventy-one million, two hundred eighty-eight thousand, eighty-five".