85199859360 has 864 divisors, whose sum is σ = 380969132544. Its totient is φ = 17127936000.

The previous prime is 85199859347. The next prime is 85199859389. The reversal of 85199859360 is 6395899158.

85199859360 is a `hidden beast` number, since 8 + 5 + 199 + 85 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 24059190 + ... + 24062730.

It is an arithmetic number, because the mean of its divisors is an integer number (440936496).

Almost surely, 2^85199859360 is an apocalyptic number.

85199859360 is a gapful number since it is divisible by the number (80) 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 85199859360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190484566272).

85199859360 is an abundant number, since it is smaller than the sum of its proper divisors (295769273184).

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

85199859360 is a wasteful number, since it uses less digits than its factorization.

85199859360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 85199859360 in words is "eighty-five billion, one hundred ninety-nine million, eight hundred fifty-nine thousand, three hundred sixty".