27742145165 has 16 divisors (see below), whose sum is σ = 38670084480. Its totient is φ = 18711328320.

The previous prime is 27742145149. The next prime is 27742145173. The reversal of 27742145165 is 56154124772.

It is a happy number.

It is not a de Polignac number, because 27742145165 - 2⁴ = 27742145149 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6494855 + ... + 6499124.

It is an arithmetic number, because the mean of its divisors is an integer number (2416880280).

Almost surely, 2^27742145165 is an apocalyptic number.

It is an amenable number.

27742145165 is a deficient number, since it is larger than the sum of its proper divisors (10927939315).

27742145165 is a wasteful number, since it uses less digits than its factorization.

27742145165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12994052.

The product of its digits is 470400, while the sum is 44.

The spelling of 27742145165 in words is "twenty-seven billion, seven hundred forty-two million, one hundred forty-five thousand, one hundred sixty-five".