27808966656 has 576 divisors, whose sum is σ = 93369931200. Its totient is φ = 8217427968.

The previous prime is 27808966631. The next prime is 27808966663. The reversal of 27808966656 is 65666980872.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 27808966593 and 27808966602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160745386 + ... + 160745558.

It is an arithmetic number, because the mean of its divisors is an integer number (162100575).

Almost surely, 2^27808966656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27808966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46684965600).

27808966656 is an abundant number, since it is smaller than the sum of its proper divisors (65560964544).

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

27808966656 is a wasteful number, since it uses less digits than its factorization.

27808966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 27808966656 in words is "twenty-seven billion, eight hundred eight million, nine hundred sixty-six thousand, six hundred fifty-six".