27809011230625 has 45 divisors (see below), whose sum is σ = 35720982752301. Its totient is φ = 21642136200000.

The previous prime is 27809011230619. The next prime is 27809011230691. The reversal of 27809011230625 is 52603211090872.

The square root of 27809011230625 is 5273425.

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

It can be written as a sum of positive squares in 22 ways, for example, as 20044451272609 + 7764559958016 = 4477103^2 + 2786496^2 .

It is not a de Polignac number, because 27809011230625 - 2⁵ = 27809011230593 is a prime.

It is a super-2 number, since 2×27809011230625² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4877915275 + ... + 4877920975.

Almost surely, 2^{27809011230625} is an apocalyptic number.

27809011230625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27809011230625 is the 5273425-th square number.

27809011230625 is the 2636713-rd centered octagonal number.

It is an amenable number.

27809011230625 is a deficient number, since it is larger than the sum of its proper divisors (7911971521676).

27809011230625 is an frugal number, since it uses more digits than its factorization.

27809011230625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11496 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 27809011230625 in words is "twenty-seven trillion, eight hundred nine billion, eleven million, two hundred thirty thousand, six hundred twenty-five".