27972593584866 has 144 divisors (see below), whose sum is σ = 71034674397336. Its totient is φ = 7931854651392.

The previous prime is 27972593584861. The next prime is 27972593584921. The reversal of 27972593584866 is 66848539527972.

27972593584866 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 25 + 9 + 3 + 584 + 8 + 6 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25330736691225 + 2641856893641 = 5032965^2 + 1625379^2 .

It is not an unprimeable number, because it can be changed into a prime (27972593584861) 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 71 ways as a sum of consecutive naturals, for example, 524030370 + ... + 524083746.

Almost surely, 2^{27972593584866} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27972593584866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35517337198668).

27972593584866 is an abundant number, since it is smaller than the sum of its proper divisors (43062080812470).

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

27972593584866 is a wasteful number, since it uses less digits than its factorization.

27972593584866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57873 (or 57863 counting only the distinct ones).

The product of its digits is 10973491200, while the sum is 81.

The spelling of 27972593584866 in words is "twenty-seven trillion, nine hundred seventy-two billion, five hundred ninety-three million, five hundred eighty-four thousand, eight hundred sixty-six".