27119173041 has 27 divisors (see below), whose sum is σ = 41624816961. Its totient is φ = 17010681984.

The previous prime is 27119173031. The next prime is 27119173057. The reversal of 27119173041 is 14037191172.

The square root of 27119173041 is 164679.

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

It can be written as a sum of positive squares in 4 ways, for example, as 221861025 + 26897312016 = 14895^2 + 164004^2 .

It is not a de Polignac number, because 27119173041 - 2²³ = 27110784433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27119172987 and 27119173005.

It is not an unprimeable number, because it can be changed into a prime (27119173031) 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, 8397015 + ... + 8400243.

Almost surely, 2^27119173041 is an apocalyptic number.

27119173041 is the 164679-th square number.

27119173041 is the 82340-th centered octagonal number.

It is an amenable number.

27119173041 is a deficient number, since it is larger than the sum of its proper divisors (14505643920).

27119173041 is an frugal number, since it uses more digits than its factorization.

27119173041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Multiplying 27119173041 by its sum of digits (36), we get a square (976290229476 = 988074²).

The spelling of 27119173041 in words is "twenty-seven billion, one hundred nineteen million, one hundred seventy-three thousand, forty-one".