85259177967888 has 100 divisors (see below), whose sum is σ = 246767305946700. Its totient is φ = 28419437005056.

The previous prime is 85259177967881. The next prime is 85259177967913. The reversal of 85259177967888 is 88876977195258.

It is a happy number.

85259177967888 is a `hidden beast` number, since 8 + 5 + 2 + 591 + 7 + 7 + 9 + 6 + 7 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60618557067264 + 24640620900624 = 7785792^2 + 4963932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85259177967798 and 85259177967807.

It is not an unprimeable number, because it can be changed into a prime (85259177967881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154982338 + ... + 155531486.

It is an arithmetic number, because the mean of its divisors is an integer number (2467673059467).

Almost surely, 2^{85259177967888} is an apocalyptic number.

It is an amenable number.

85259177967888 is an abundant number, since it is smaller than the sum of its proper divisors (161508127978812).

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

85259177967888 is a wasteful number, since it uses less digits than its factorization.

85259177967888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668966 (or 668951 counting only the distinct ones).

The product of its digits is 34139750400, while the sum is 90.

The spelling of 85259177967888 in words is "eighty-five trillion, two hundred fifty-nine billion, one hundred seventy-seven million, nine hundred sixty-seven thousand, eight hundred eighty-eight".