27563710073661 has 6 divisors (see below), whose sum is σ = 39814247884190. Its totient is φ = 18375806715768.

The previous prime is 27563710073659. The next prime is 27563710073681. The reversal of 27563710073661 is 16637001736572.

27563710073661 is a `hidden beast` number, since 2 + 7 + 563 + 7 + 1 + 0 + 0 + 73 + 6 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17571346528761 + 9992363544900 = 4191819^2 + 3161070^2 .

It is not a de Polignac number, because 27563710073661 - 2¹ = 27563710073659 is a prime.

It is a super-3 number, since 3×27563710073661³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27563710073598 and 27563710073607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27563710073681) 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 5 ways as a sum of consecutive naturals, for example, 1531317226306 + ... + 1531317226323.

Almost surely, 2^{27563710073661} is an apocalyptic number.

It is an amenable number.

27563710073661 is a deficient number, since it is larger than the sum of its proper divisors (12250537810529).

27563710073661 is a wasteful number, since it uses less digits than its factorization.

27563710073661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062634452635 (or 3062634452632 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 27563710073661 in words is "twenty-seven trillion, five hundred sixty-three billion, seven hundred ten million, seventy-three thousand, six hundred sixty-one".