27727345848 has 256 divisors, whose sum is σ = 82606003200. Its totient is φ = 7688355840.

The previous prime is 27727345801. The next prime is 27727345853. The reversal of 27727345848 is 84854372772.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 63 ways as a sum of consecutive naturals, for example, 7308240 + ... + 7312032.

It is an arithmetic number, because the mean of its divisors is an integer number (322679700).

Almost surely, 2^27727345848 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 27727345848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41303001600).

27727345848 is an abundant number, since it is smaller than the sum of its proper divisors (54878657352).

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

27727345848 is a wasteful number, since it uses less digits than its factorization.

27727345848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3898 counting only the distinct ones).

The product of its digits is 21073920, while the sum is 57.

The spelling of 27727345848 in words is "twenty-seven billion, seven hundred twenty-seven million, three hundred forty-five thousand, eight hundred forty-eight".