27745231761 has 27 divisors (see below), whose sum is σ = 43406551227. Its totient is φ = 17069991120.

The previous prime is 27745231751. The next prime is 27745231777. The reversal of 27745231761 is 16713254772.

The square root of 27745231761 is 166569.

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

27745231761 is a `hidden beast` number, since 27 + 7 + 452 + 3 + 176 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4104324225 + 23640907536 = 64065^2 + 153756^2 .

It is not a de Polignac number, because 27745231761 - 2¹⁷ = 27745100689 is a prime.

It is a super-2 number, since 2×27745231761² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27745231751) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6494056 + ... + 6498326.

Almost surely, 2^27745231761 is an apocalyptic number.

27745231761 is the 166569-th square number.

27745231761 is the 83285-th centered octagonal number.

It is an amenable number.

27745231761 is a deficient number, since it is larger than the sum of its proper divisors (15661319466).

27745231761 is an frugal number, since it uses more digits than its factorization.

27745231761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8574 (or 4287 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 27745231761 in words is "twenty-seven billion, seven hundred forty-five million, two hundred thirty-one thousand, seven hundred sixty-one".