27742171653 has 128 divisors (see below), whose sum is σ = 50629017600. Its totient is φ = 14677977600.

The previous prime is 27742171649. The next prime is 27742171663. The reversal of 27742171653 is 35617124772.

27742171653 is a `hidden beast` number, since 277 + 4 + 217 + 165 + 3 = 666.

It is not a de Polignac number, because 27742171653 - 2² = 27742171649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27742171599 and 27742171608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27742171663) 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 127 ways as a sum of consecutive naturals, for example, 12730518 + ... + 12732696.

It is an arithmetic number, because the mean of its divisors is an integer number (395539200).

Almost surely, 2^27742171653 is an apocalyptic number.

It is an amenable number.

27742171653 is a deficient number, since it is larger than the sum of its proper divisors (22886845947).

27742171653 is a wasteful number, since it uses less digits than its factorization.

27742171653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2314 counting only the distinct ones).

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

The spelling of 27742171653 in words is "twenty-seven billion, seven hundred forty-two million, one hundred seventy-one thousand, six hundred fifty-three".