27850279271808 has 128 divisors (see below), whose sum is σ = 84566180171520. Its totient is φ = 7955275401216.

The previous prime is 27850279271797. The next prime is 27850279271813. The reversal of 27850279271808 is 80817297205872.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9736291 + ... + 12267677.

It is an arithmetic number, because the mean of its divisors is an integer number (660673282590).

Almost surely, 2^{27850279271808} is an apocalyptic number.

27850279271808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27850279271808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42283090085760).

27850279271808 is an abundant number, since it is smaller than the sum of its proper divisors (56715900899712).

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

27850279271808 is a wasteful number, since it uses less digits than its factorization.

27850279271808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535504 (or 2535492 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 66.

The spelling of 27850279271808 in words is "twenty-seven trillion, eight hundred fifty billion, two hundred seventy-nine million, two hundred seventy-one thousand, eight hundred eight".