27156732849 has 27 divisors (see below), whose sum is σ = 39585985803. Its totient is φ = 17940025152.

The previous prime is 27156732821. The next prime is 27156732887. The reversal of 27156732849 is 94823765172.

It is a happy number.

The square root of 27156732849 is 164793.

It is a perfect power (a square), and thus also a powerful number.

27156732849 is a `hidden beast` number, since 2 + 7 + 1 + 567 + 32 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7323080625 + 19833652224 = 85575^2 + 140832^2 .

It is not a de Polignac number, because 27156732849 - 2¹⁷ = 27156601777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27156732795 and 27156732804.

It is not an unprimeable number, because it can be changed into a prime (27156732049) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 80583609 + ... + 80583945.

Almost surely, 2^27156732849 is an apocalyptic number.

27156732849 is the 164793-rd square number.

27156732849 is the 82397-th centered octagonal number.

It is an amenable number.

27156732849 is a deficient number, since it is larger than the sum of its proper divisors (12429252954).

27156732849 is an frugal number, since it uses more digits than its factorization.

27156732849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 27156732849 in words is "twenty-seven billion, one hundred fifty-six million, seven hundred thirty-two thousand, eight hundred forty-nine".