27645567865641 has 24 divisors (see below), whose sum is σ = 43580736841824. Its totient is φ = 16747957368960.

The previous prime is 27645567865609. The next prime is 27645567865651. The reversal of 27645567865641 is 14656876554672.

27645567865641 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 5 + 56 + 7 + 8 + 6 + 564 + 1 = 666.

It is not a de Polignac number, because 27645567865641 - 2⁵ = 27645567865609 is a prime.

It is a super-2 number, since 2×27645567865641² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27645567865641.

It is not an unprimeable number, because it can be changed into a prime (27645567865651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57528231 + ... + 58006796.

It is an arithmetic number, because the mean of its divisors is an integer number (1815864035076).

Almost surely, 2^{27645567865641} is an apocalyptic number.

It is an amenable number.

27645567865641 is a deficient number, since it is larger than the sum of its proper divisors (15935168976183).

27645567865641 is a wasteful number, since it uses less digits than its factorization.

27645567865641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115537461 (or 115537458 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 72.

The spelling of 27645567865641 in words is "twenty-seven trillion, six hundred forty-five billion, five hundred sixty-seven million, eight hundred sixty-five thousand, six hundred forty-one".