27001900269 has 24 divisors (see below), whose sum is σ = 39092776632. Its totient is φ = 17959772160.

The previous prime is 27001900229. The next prime is 27001900291. The reversal of 27001900269 is 96200910072.

It can be written as a sum of positive squares in 4 ways, for example, as 8833556169 + 18168344100 = 93987^2 + 134790^2 .

It is not a de Polignac number, because 27001900269 - 2¹⁶ = 27001834733 is a prime.

It is a super-2 number, since 2×27001900269² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27001900229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9806797 + ... + 9809549.

It is an arithmetic number, because the mean of its divisors is an integer number (1628865693).

Almost surely, 2^27001900269 is an apocalyptic number.

It is an amenable number.

27001900269 is a deficient number, since it is larger than the sum of its proper divisors (12090876363).

27001900269 is a wasteful number, since it uses less digits than its factorization.

27001900269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 27001900269 in words is "twenty-seven billion, one million, nine hundred thousand, two hundred sixty-nine".