27089112960 has 1536 divisors, whose sum is σ = 126587059200. Its totient is φ = 5415911424.

The previous prime is 27089112931. The next prime is 27089112977. The reversal of 27089112960 is 6921198072.

27089112960 is a `hidden beast` number, since 270 + 8 + 91 + 1 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 253169227 + ... + 253169333.

It is an arithmetic number, because the mean of its divisors is an integer number (82413450).

Almost surely, 2^27089112960 is an apocalyptic number.

27089112960 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 27089112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63293529600).

27089112960 is an abundant number, since it is smaller than the sum of its proper divisors (99497946240).

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

27089112960 is a wasteful number, since it uses less digits than its factorization.

27089112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 27089112960 in words is "twenty-seven billion, eighty-nine million, one hundred twelve thousand, nine hundred sixty".