27873282066630 has 384 divisors, whose sum is σ = 93619357977600. Its totient is φ = 5161966064640.

The previous prime is 27873282066613. The next prime is 27873282066661. The reversal of 27873282066630 is 3666028237872.

It is a Curzon number.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 8124741 + ... + 11034399.

It is an arithmetic number, because the mean of its divisors is an integer number (243800411400).

Almost surely, 2^{27873282066630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27873282066630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46809678988800).

27873282066630 is an abundant number, since it is smaller than the sum of its proper divisors (65746075910970).

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

27873282066630 is a wasteful number, since it uses less digits than its factorization.

27873282066630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909740 (or 2909729 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 27873282066630 in words is "twenty-seven trillion, eight hundred seventy-three billion, two hundred eighty-two million, sixty-six thousand, six hundred thirty".