27243433434272 has 72 divisors (see below), whose sum is σ = 58966902510516. Its totient is φ = 12380822784000.

The previous prime is 27243433434271. The next prime is 27243433434307.

27243433434272 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 27021324825616 + 222108608656 = 5198204^2 + 471284^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27243433434272.

It is not an unprimeable number, because it can be changed into a prime (27243433434271) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18098072 + ... + 19545512.

Almost surely, 2^{27243433434272} is an apocalyptic number.

27243433434272 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 27243433434272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29483451255258).

27243433434272 is an abundant number, since it is smaller than the sum of its proper divisors (31723469076244).

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

27243433434272 is a wasteful number, since it uses less digits than its factorization.

27243433434272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452334 (or 1452315 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 50.

The spelling of 27243433434272 in words is "twenty-seven trillion, two hundred forty-three billion, four hundred thirty-three million, four hundred thirty-four thousand, two hundred seventy-two".