27271142361 has 6 divisors (see below), whose sum is σ = 39391650090. Its totient is φ = 18180761568.

The previous prime is 27271142287. The next prime is 27271142369. The reversal of 27271142361 is 16324117272.

27271142361 is a `hidden beast` number, since 27 + 271 + 1 + 4 + 2 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15019973136 + 12251169225 = 122556^2 + 110685^2 .

It is not a de Polignac number, because 27271142361 - 2⁷ = 27271142233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27271142369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1515063456 + ... + 1515063473.

It is an arithmetic number, because the mean of its divisors is an integer number (6565275015).

Almost surely, 2^27271142361 is an apocalyptic number.

It is an amenable number.

27271142361 is a deficient number, since it is larger than the sum of its proper divisors (12120507729).

27271142361 is a wasteful number, since it uses less digits than its factorization.

27271142361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030126935 (or 3030126932 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 27271142361 in words is "twenty-seven billion, two hundred seventy-one million, one hundred forty-two thousand, three hundred sixty-one".