27106559308816 has 135 divisors (see below), whose sum is σ = 57883980596151. Its totient is φ = 12291426281472.

The previous prime is 27106559308781. The next prime is 27106559308817. The reversal of 27106559308816 is 61880395560172.

The square root of 27106559308816 is 5206396.

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 1072889926416 + 26033669382400 = 1035804^2 + 5102320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27106559308817) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15973222080 + ... + 15973223776.

Almost surely, 2^{27106559308816} is an apocalyptic number.

27106559308816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

27106559308816 is the 5206396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27106559308816

27106559308816 is an abundant number, since it is smaller than the sum of its proper divisors (30777421287335).

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

27106559308816 is an frugal number, since it uses more digits than its factorization.

27106559308816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 27106559308816 in words is "twenty-seven trillion, one hundred six billion, five hundred fifty-nine million, three hundred eight thousand, eight hundred sixteen".