27827586005765 has 128 divisors (see below), whose sum is σ = 42960192307200. Its totient is φ = 17186883436800.

The previous prime is 27827586005761. The next prime is 27827586005803. The reversal of 27827586005765 is 56750068572872.

It is not a de Polignac number, because 27827586005765 - 2² = 27827586005761 is a prime.

It is a super-2 number, since 2×27827586005765² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27827586005695 and 27827586005704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27827586005761) 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 127 ways as a sum of consecutive naturals, for example, 346803200 + ... + 346883430.

It is an arithmetic number, because the mean of its divisors is an integer number (335626502400).

Almost surely, 2^{27827586005765} is an apocalyptic number.

It is an amenable number.

27827586005765 is a deficient number, since it is larger than the sum of its proper divisors (15132606301435).

27827586005765 is a wasteful number, since it uses less digits than its factorization.

27827586005765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80648 (or 80634 counting only the distinct ones).

The product of its (nonzero) digits is 395136000, while the sum is 68.

The spelling of 27827586005765 in words is "twenty-seven trillion, eight hundred twenty-seven billion, five hundred eighty-six million, five thousand, seven hundred sixty-five".