27663542505 has 12 divisors (see below), whose sum is σ = 47950140420. Its totient is φ = 14753889312.

The previous prime is 27663542483. The next prime is 27663542527. The reversal of 27663542505 is 50524536672.

27663542505 is a `hidden beast` number, since 2 + 7 + 6 + 635 + 4 + 2 + 5 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (27663542483) and next prime (27663542527).

It can be written as a sum of positive squares in 2 ways, for example, as 15554080656 + 12109461849 = 124716^2 + 110043^2 .

It is not a de Polignac number, because 27663542505 - 2¹³ = 27663534313 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: 614745389 = 27663542505 / (2 + 7 + 6 + 6 + 3 + 5 + 4 + 2 + 5 + 0 + 5).

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, 307372650 + ... + 307372739.

It is an arithmetic number, because the mean of its divisors is an integer number (3995845035).

Almost surely, 2^27663542505 is an apocalyptic number.

It is an amenable number.

27663542505 is a deficient number, since it is larger than the sum of its proper divisors (20286597915).

27663542505 is a wasteful number, since it uses less digits than its factorization.

27663542505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614745400 (or 614745397 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 27663542505 in words is "twenty-seven billion, six hundred sixty-three million, five hundred forty-two thousand, five hundred five".