27582673160 has 128 divisors (see below), whose sum is σ = 74725459200. Its totient is φ = 8951316480.

The previous prime is 27582673159. The next prime is 27582673201. The reversal of 27582673160 is 6137628572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12091220 + ... + 12093500.

It is an arithmetic number, because the mean of its divisors is an integer number (583792650).

Almost surely, 2^27582673160 is an apocalyptic number.

27582673160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27582673160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37362729600).

27582673160 is an abundant number, since it is smaller than the sum of its proper divisors (47142786040).

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

27582673160 is a wasteful number, since it uses less digits than its factorization.

27582673160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 27582673160 in words is "twenty-seven billion, five hundred eighty-two million, six hundred seventy-three thousand, one hundred sixty".