27642748685211 has 48 divisors (see below), whose sum is σ = 43580744165088. Its totient is φ = 16744540032000.

The previous prime is 27642748685183. The next prime is 27642748685239. The reversal of 27642748685211 is 11258684724672.

27642748685211 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 2 + 7 + 48 + 68 + 521 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (27642748685183) and next prime (27642748685239).

It is not a de Polignac number, because 27642748685211 - 2²⁶ = 27642681576347 is a prime.

It is a super-2 number, since 2×27642748685211² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27642748685011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2211944515 + ... + 2211957011.

It is an arithmetic number, because the mean of its divisors is an integer number (907932170106).

Almost surely, 2^{27642748685211} is an apocalyptic number.

27642748685211 is a deficient number, since it is larger than the sum of its proper divisors (15937995479877).

27642748685211 is a wasteful number, since it uses less digits than its factorization.

27642748685211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22252 (or 22249 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 27642748685211 in words is "twenty-seven trillion, six hundred forty-two billion, seven hundred forty-eight million, six hundred eighty-five thousand, two hundred eleven".