27871241184 has 96 divisors (see below), whose sum is σ = 81931530240. Its totient is φ = 9217224576.

The previous prime is 27871241179. The next prime is 27871241191. The reversal of 27871241184 is 48114217872.

It is a tau number, because it is divible by the number of its divisors (96).

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, 17274 + ... + 236729.

It is an arithmetic number, because the mean of its divisors is an integer number (853453440).

Almost surely, 2^27871241184 is an apocalyptic number.

27871241184 is a gapful number since it is divisible by the number (24) 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 27871241184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965765120).

27871241184 is an abundant number, since it is smaller than the sum of its proper divisors (54060289056).

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

27871241184 is a wasteful number, since it uses less digits than its factorization.

27871241184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254149 (or 254135 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The spelling of 27871241184 in words is "twenty-seven billion, eight hundred seventy-one million, two hundred forty-one thousand, one hundred eighty-four".