27642655171056 has 40 divisors (see below), whose sum is σ = 71410418596944. Its totient is φ = 9214189219840.

The previous prime is 27642655171049. The next prime is 27642655171067. The reversal of 27642655171056 is 65017155624672.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27642655170987 and 27642655171005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18804496 + ... + 20221136.

Almost surely, 2^{27642655171056} is an apocalyptic number.

It is an amenable number.

27642655171056 is an abundant number, since it is smaller than the sum of its proper divisors (43767763425888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27642655171056 is a wasteful number, since it uses less digits than its factorization.

27642655171056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823169 (or 1823163 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 27642655171056 in words is "twenty-seven trillion, six hundred forty-two billion, six hundred fifty-five million, one hundred seventy-one thousand, fifty-six".