27782656575768 has 128 divisors (see below), whose sum is σ = 78938812920000. Its totient is φ = 9051047516160.

The previous prime is 27782656575761. The next prime is 27782656575799. The reversal of 27782656575768 is 86757565628772.

27782656575768 is a `hidden beast` number, since 27 + 7 + 8 + 26 + 565 + 7 + 5 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×27782656575768² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27782656575761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4646593 + ... + 8783856.

Almost surely, 2^{27782656575768} is an apocalyptic number.

It is an amenable number.

27782656575768 is an abundant number, since it is smaller than the sum of its proper divisors (51156156344232).

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

27782656575768 is a wasteful number, since it uses less digits than its factorization.

27782656575768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13430682 (or 13430672 counting only the distinct ones).

The product of its digits is 16595712000, while the sum is 81.

The spelling of 27782656575768 in words is "twenty-seven trillion, seven hundred eighty-two billion, six hundred fifty-six million, five hundred seventy-five thousand, seven hundred sixty-eight".