27805785768 has 48 divisors (see below), whose sum is σ = 75998250900. Its totient is φ = 9183559680.

The previous prime is 27805785743. The next prime is 27805785811. The reversal of 27805785768 is 86758750872.

27805785768 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 57 + 8 + 576 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27716256324 + 89529444 = 166482^2 + 9462^2 .

It is a super-2 number, since 2×27805785768² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1763673 + ... + 1779368.

Almost surely, 2^27805785768 is an apocalyptic number.

It is an amenable number.

27805785768 is an abundant number, since it is smaller than the sum of its proper divisors (48192465132).

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

27805785768 is a wasteful number, since it uses less digits than its factorization.

27805785768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543162 (or 3543155 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 27805785768 in words is "twenty-seven billion, eight hundred five million, seven hundred eighty-five thousand, seven hundred sixty-eight".