27746187526225 has 135 divisors (see below), whose sum is σ = 42719768068167. Its totient is φ = 17822067500160.

The previous prime is 27746187526163. The next prime is 27746187526271. The reversal of 27746187526225 is 52262578164772.

The square root of 27746187526225 is 5267465.

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

It can be written as a sum of positive squares in 7 ways, for example, as 27734979492801 + 11208033424 = 5266401^2 + 105868^2 .

It is not a de Polignac number, because 27746187526225 - 2¹⁹ = 27746187001937 is a prime.

Its product of digits (158054400) is a multiple of the sum of its prime divisors (120).

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 134 ways as a sum of consecutive naturals, for example, 311754915981 + ... + 311754916069.

Almost surely, 2^{27746187526225} is an apocalyptic number.

27746187526225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27746187526225 is the 5267465-th square number.

27746187526225 is the 2633733-rd centered octagonal number.

It is an amenable number.

27746187526225 is a deficient number, since it is larger than the sum of its proper divisors (14973580541942).

27746187526225 is an frugal number, since it uses more digits than its factorization.

27746187526225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 120 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 64.

The spelling of 27746187526225 in words is "twenty-seven trillion, seven hundred forty-six billion, one hundred eighty-seven million, five hundred twenty-six thousand, two hundred twenty-five".