85999845888 has 720 divisors, whose sum is σ = 296983054368. Its totient is φ = 23843635200.

The previous prime is 85999845829. The next prime is 85999845917. The reversal of 85999845888 is 88854899958.

85999845888 is a `hidden beast` number, since 85 + 9 + 9 + 9 + 8 + 458 + 88 = 666.

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 71 ways as a sum of consecutive naturals, for example, 407582103 + ... + 407582313.

Almost surely, 2^85999845888 is an apocalyptic number.

85999845888 is a gapful number since it is divisible by the number (88) 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 85999845888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148491527184).

85999845888 is an abundant number, since it is smaller than the sum of its proper divisors (210983208480).

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

85999845888 is a wasteful number, since it uses less digits than its factorization.

85999845888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 287 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 81.

The spelling of 85999845888 in words is "eighty-five billion, nine hundred ninety-nine million, eight hundred forty-five thousand, eight hundred eighty-eight".