27244244244272 has 160 divisors (see below), whose sum is σ = 58550031040320. Its totient is φ = 12177174528000.

The previous prime is 27244244244271. The next prime is 27244244244293.

27244244244272 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27244244244272.

It is not an unprimeable number, because it can be changed into a prime (27244244244271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8900437622 + ... + 8900440682.

It is an arithmetic number, because the mean of its divisors is an integer number (365937694002).

Almost surely, 2^{27244244244272} is an apocalyptic number.

27244244244272 is a gapful number since it is divisible by the number (22) 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 27244244244272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29275015520160).

27244244244272 is an abundant number, since it is smaller than the sum of its proper divisors (31305786796048).

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

27244244244272 is a wasteful number, since it uses less digits than its factorization.

27244244244272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5017 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 50.

It can be divided in two parts, 2724424 and 4244272, that added together give a palindrome (6968696).

The spelling of 27244244244272 in words is "twenty-seven trillion, two hundred forty-four billion, two hundred forty-four million, two hundred forty-four thousand, two hundred seventy-two".