27057618064 has 135 divisors (see below), whose sum is σ = 58064577931. Its totient is φ = 12211886080.

The previous prime is 27057618053. The next prime is 27057618067. The reversal of 27057618064 is 46081675072.

It is a happy number.

The square root of 27057618064 is 164492.

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 1906195600 + 25151422464 = 43660^2 + 158592^2 .

It is a super-2 number, since 2×27057618064² (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 (27057618067) 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, 458603667 + ... + 458603725.

Almost surely, 2^27057618064 is an apocalyptic number.

27057618064 is the 164492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27057618064

27057618064 is an abundant number, since it is smaller than the sum of its proper divisors (31006959867).

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

27057618064 is an equidigital number, since it uses as much as digits as its factorization.

27057618064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 27057618064 in words is "twenty-seven billion, fifty-seven million, six hundred eighteen thousand, sixty-four".