27205522641 has 12 divisors (see below), whose sum is σ = 42869308560. Its totient is φ = 16488195480.

The previous prime is 27205522577. The next prime is 27205522649. The reversal of 27205522641 is 14622550272.

27205522641 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 5 + 5 + 2 + 2 + 641 = 666.

It is not a de Polignac number, because 27205522641 - 2⁶ = 27205522577 is a prime.

It is a super-2 number, since 2×27205522641² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27205522596 and 27205522605.

It is not an unprimeable number, because it can be changed into a prime (27205522649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137401531 + ... + 137401728.

It is an arithmetic number, because the mean of its divisors is an integer number (3572442380).

Almost surely, 2^27205522641 is an apocalyptic number.

It is an amenable number.

27205522641 is a deficient number, since it is larger than the sum of its proper divisors (15663785919).

27205522641 is a wasteful number, since it uses less digits than its factorization.

27205522641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274803276 (or 274803273 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 27205522641 in words is "twenty-seven billion, two hundred five million, five hundred twenty-two thousand, six hundred forty-one".