27965616705 has 48 divisors (see below), whose sum is σ = 52222257360. Its totient is φ = 13762473984.

The previous prime is 27965616683. The next prime is 27965616737. The reversal of 27965616705 is 50761656972.

27965616705 is a `hidden beast` number, since 2 + 7 + 9 + 6 + 561 + 6 + 70 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20142144 + 27945474561 = 4488^2 + 167169^2 .

It is not a de Polignac number, because 27965616705 - 2⁷ = 27965616577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869817 + ... + 1884713.

It is an arithmetic number, because the mean of its divisors is an integer number (1087963695).

Almost surely, 2^27965616705 is an apocalyptic number.

It is an amenable number.

27965616705 is a deficient number, since it is larger than the sum of its proper divisors (24256640655).

27965616705 is a wasteful number, since it uses less digits than its factorization.

27965616705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18130 (or 18127 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 27965616705 in words is "twenty-seven billion, nine hundred sixty-five million, six hundred sixteen thousand, seven hundred five".