27705142127 has 8 divisors (see below), whose sum is σ = 29838787440. Its totient is φ = 25571851200.

The previous prime is 27705142067. The next prime is 27705142151. The reversal of 27705142127 is 72124150772.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27705142127 - 2²⁰ = 27704093551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27705142327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86627 + ... + 250827.

It is an arithmetic number, because the mean of its divisors is an integer number (3729848430).

Almost surely, 2^27705142127 is an apocalyptic number.

27705142127 is a deficient number, since it is larger than the sum of its proper divisors (2133645313).

27705142127 is a wasteful number, since it uses less digits than its factorization.

27705142127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177193.

The product of its (nonzero) digits is 54880, while the sum is 38.

Adding to 27705142127 its reverse (72124150772), we get a palindrome (99829292899).

The spelling of 27705142127 in words is "twenty-seven billion, seven hundred five million, one hundred forty-two thousand, one hundred twenty-seven".