27685444796416 has 405 divisors, whose sum is σ = 63175126377531. Its totient is φ = 12122947584000.

The previous prime is 27685444796357. The next prime is 27685444796417. The reversal of 27685444796416 is 61469744458672.

The square root of 27685444796416 is 5261696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20618864640000 + 7066580156416 = 4540800^2 + 2658304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27685444796417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 274113314766 + ... + 274113314866.

Almost surely, 2^{27685444796416} is an apocalyptic number.

27685444796416 is the 5261696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27685444796416

27685444796416 is an abundant number, since it is smaller than the sum of its proper divisors (35489681581115).

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

27685444796416 is an frugal number, since it uses more digits than its factorization.

27685444796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 151 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 73.

The spelling of 27685444796416 in words is "twenty-seven trillion, six hundred eighty-five billion, four hundred forty-four million, seven hundred ninety-six thousand, four hundred sixteen".