27844478816 has 96 divisors (see below), whose sum is σ = 68461811712. Its totient is φ = 10830044160.

The previous prime is 27844478813. The next prime is 27844478819. The reversal of 27844478816 is 61887444872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27844478813) and next prime (27844478819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27844478813) 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 15 ways as a sum of consecutive naturals, for example, 1486340 + ... + 1504956.

It is an arithmetic number, because the mean of its divisors is an integer number (713143872).

Almost surely, 2^27844478816 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 27844478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34230905856).

27844478816 is an abundant number, since it is smaller than the sum of its proper divisors (40617332896).

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

27844478816 is a wasteful number, since it uses less digits than its factorization.

27844478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19252 (or 19244 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 59.

The spelling of 27844478816 in words is "twenty-seven billion, eight hundred forty-four million, four hundred seventy-eight thousand, eight hundred sixteen".