27485992521 has 75 divisors (see below), whose sum is σ = 44892637251. Its totient is φ = 16759278432.

The previous prime is 27485992487. The next prime is 27485992577. The reversal of 27485992521 is 12529958472.

The square root of 27485992521 is 165789.

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

27485992521 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 599 + 25 + 21 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 26328632121 + 1157360400 = 162261^2 + 34020^2 .

It is not a de Polignac number, because 27485992521 - 2⁷ = 27485992393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27485992321) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 252165015 + ... + 252165123.

Almost surely, 2^27485992521 is an apocalyptic number.

27485992521 is the 165789-th square number.

27485992521 is the 82895-th centered octagonal number.

It is an amenable number.

27485992521 is a deficient number, since it is larger than the sum of its proper divisors (17406644730).

27485992521 is an frugal number, since it uses more digits than its factorization.

27485992521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 125 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 27485992521 in words is "twenty-seven billion, four hundred eighty-five million, nine hundred ninety-two thousand, five hundred twenty-one".