27298105344 has 144 divisors (see below), whose sum is σ = 80521983360. Its totient is φ = 8905482240.

The previous prime is 27298105343. The next prime is 27298105361. The reversal of 27298105344 is 44350189272.

27298105344 is a `hidden beast` number, since 2 + 7 + 298 + 10 + 5 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 27298105344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27298105343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 850549 + ... + 882059.

It is an arithmetic number, because the mean of its divisors is an integer number (559180440).

Almost surely, 2^27298105344 is an apocalyptic number.

27298105344 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 27298105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40260991680).

27298105344 is an abundant number, since it is smaller than the sum of its proper divisors (53223878016).

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

27298105344 is a wasteful number, since it uses less digits than its factorization.

27298105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31586 (or 31563 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27298105344 in words is "twenty-seven billion, two hundred ninety-eight million, one hundred five thousand, three hundred forty-four".