27285000118272 has 672 divisors, whose sum is σ = 89092802792448. Its totient is φ = 8293582503936.

The previous prime is 27285000118213. The next prime is 27285000118301. The reversal of 27285000118272 is 27281100058272.

27285000118272 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 500 + 0 + 118 + 27 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2147911473 + ... + 2147924175.

It is an arithmetic number, because the mean of its divisors is an integer number (132578575584).

Almost surely, 2^{27285000118272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27285000118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44546401396224).

27285000118272 is an abundant number, since it is smaller than the sum of its proper divisors (61807802674176).

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

27285000118272 is an equidigital number, since it uses as much as digits as its factorization.

27285000118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12840 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 27285000118272 in words is "twenty-seven trillion, two hundred eighty-five billion, one hundred eighteen thousand, two hundred seventy-two".