27927081585 has 160 divisors (see below), whose sum is σ = 57289589280. Its totient is φ = 12893478912.

The previous prime is 27927081583. The next prime is 27927081601. The reversal of 27927081585 is 58518072972.

It can be written as a sum of positive squares in 16 ways, for example, as 11759450481 + 16167631104 = 108441^2 + 127152^2 .

It is not a de Polignac number, because 27927081585 - 2¹ = 27927081583 is a prime.

It is a super-2 number, since 2×27927081585² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27927081583) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45557739 + ... + 45558351.

It is an arithmetic number, because the mean of its divisors is an integer number (358059933).

Almost surely, 2^27927081585 is an apocalyptic number.

It is an amenable number.

27927081585 is an abundant number, since it is smaller than the sum of its proper divisors (29362507695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27927081585 is a wasteful number, since it uses less digits than its factorization.

27927081585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 27927081585 in words is "twenty-seven billion, nine hundred twenty-seven million, eighty-one thousand, five hundred eighty-five".