27416288205 has 12 divisors (see below), whose sum is σ = 47521566300. Its totient is φ = 14622020352.

The previous prime is 27416288197. The next prime is 27416288219. The reversal of 27416288205 is 50288261472.

27416288205 is a `hidden beast` number, since 2 + 7 + 416 + 28 + 8 + 205 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15171095241 + 12245192964 = 123171^2 + 110658^2 .

It is not a de Polignac number, because 27416288205 - 2³ = 27416288197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 609250849 = 27416288205 / (2 + 7 + 4 + 1 + 6 + 2 + 8 + 8 + 2 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304625380 + ... + 304625469.

It is an arithmetic number, because the mean of its divisors is an integer number (3960130525).

Almost surely, 2^27416288205 is an apocalyptic number.

It is an amenable number.

27416288205 is a deficient number, since it is larger than the sum of its proper divisors (20105278095).

27416288205 is a wasteful number, since it uses less digits than its factorization.

27416288205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609250860 (or 609250857 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 27416288205 in words is "twenty-seven billion, four hundred sixteen million, two hundred eighty-eight thousand, two hundred five".