85285672227 has 192 divisors, whose sum is σ = 157947310080. Its totient is φ = 45265651200.

The previous prime is 85285672211. The next prime is 85285672243. The reversal of 85285672227 is 72227658258.

85285672227 is a `hidden beast` number, since 8 + 52 + 8 + 567 + 2 + 2 + 27 = 666.

It is an interprime number because it is at equal distance from previous prime (85285672211) and next prime (85285672243).

It is not a de Polignac number, because 85285672227 - 2⁴ = 85285672211 is a prime.

It is a super-3 number, since 3×85285672227³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (85285672247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112662333 + ... + 112663089.

It is an arithmetic number, because the mean of its divisors is an integer number (822642240).

Almost surely, 2^85285672227 is an apocalyptic number.

85285672227 is a deficient number, since it is larger than the sum of its proper divisors (72661637853).

85285672227 is a wasteful number, since it uses less digits than its factorization.

85285672227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 906 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 85285672227 in words is "eighty-five billion, two hundred eighty-five million, six hundred seventy-two thousand, two hundred twenty-seven".