27259330816 has 81 divisors (see below), whose sum is σ = 57896554989. Its totient is φ = 12806787072.

The previous prime is 27259330759. The next prime is 27259330817. The reversal of 27259330816 is 61803395272.

The square root of 27259330816 is 165104.

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

It can be written as a sum of positive squares in only one way, i.e., 21222662400 + 6036668416 = 145680^2 + 77696^2 .

It is a super-2 number, since 2×27259330816² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27259330817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44907985 + ... + 44908591.

Almost surely, 2^27259330816 is an apocalyptic number.

27259330816 is the 165104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27259330816

27259330816 is an abundant number, since it is smaller than the sum of its proper divisors (30637224173).

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

27259330816 is an frugal number, since it uses more digits than its factorization.

27259330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 27259330816 in words is "twenty-seven billion, two hundred fifty-nine million, three hundred thirty thousand, eight hundred sixteen".