27590871025 has 27 divisors (see below), whose sum is σ = 34605375051. Its totient is φ = 21822210480.

The previous prime is 27590870999. The next prime is 27590871053. The reversal of 27590871025 is 52017809572.

It is a happy number.

The square root of 27590871025 is 166105.

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., 9932713569 + 17658157456 = 99663^2 + 132884^2 .

It is not a de Polignac number, because 27590871025 - 2⁷ = 27590870897 is a prime.

It is a super-2 number, since 2×27590871025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115442856 + ... + 115443094.

Almost surely, 2^27590871025 is an apocalyptic number.

27590871025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27590871025 is the 166105-th square number.

27590871025 is the 83053-rd centered octagonal number.

It is an amenable number.

27590871025 is a deficient number, since it is larger than the sum of its proper divisors (7014504026).

27590871025 is an frugal number, since it uses more digits than its factorization.

27590871025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 27590871025 in words is "twenty-seven billion, five hundred ninety million, eight hundred seventy-one thousand, twenty-five".