27660510513 has 12 divisors (see below), whose sum is σ = 39972153780. Its totient is φ = 18431994336.

The previous prime is 27660510509. The next prime is 27660510599. The reversal of 27660510513 is 31501506672.

27660510513 is a `hidden beast` number, since 2 + 76 + 60 + 5 + 10 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18144898209 + 9515612304 = 134703^2 + 97548^2 .

It is not a de Polignac number, because 27660510513 - 2² = 27660510509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27660510013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674478 + ... + 714311.

It is an arithmetic number, because the mean of its divisors is an integer number (3331012815).

Almost surely, 2^27660510513 is an apocalyptic number.

It is an amenable number.

27660510513 is a deficient number, since it is larger than the sum of its proper divisors (12311643267).

27660510513 is a wasteful number, since it uses less digits than its factorization.

27660510513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391008 (or 1391005 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 27660510513 in words is "twenty-seven billion, six hundred sixty million, five hundred ten thousand, five hundred thirteen".