27555668001 has 9 divisors (see below), whose sum is σ = 39803350899. Its totient is φ = 18370113336.

The previous prime is 27555667969. The next prime is 27555668003. The reversal of 27555668001 is 10086655572.

The square root of 27555668001 is 165999.

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

27555668001 is a `hidden beast` number, since 2 + 7 + 5 + 5 + 566 + 80 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4792100625 + 22763567376 = 69225^2 + 150876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 27555668001 - 2⁵ = 27555667969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27555668003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 470331 + ... + 525663.

Almost surely, 2^27555668001 is an apocalyptic number.

27555668001 is the 165999-th square number.

27555668001 is the 83000-th centered octagonal number.

It is an amenable number.

27555668001 is a deficient number, since it is larger than the sum of its proper divisors (12247682898).

27555668001 is an frugal number, since it uses more digits than its factorization.

27555668001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110672 (or 55336 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

It can be divided in two parts, 27555 and 668001, that added together give a square (695556 = 834²).

The spelling of 27555668001 in words is "twenty-seven billion, five hundred fifty-five million, six hundred sixty-eight thousand, one".