85838319168 has 168 divisors, whose sum is σ = 278099215200. Its totient is φ = 23234383872.

The previous prime is 85838319163. The next prime is 85838319227. The reversal of 85838319168 is 86191383858.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (85838319163) 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 23 ways as a sum of consecutive naturals, for example, 61353 + ... + 418856.

Almost surely, 2^85838319168 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 85838319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139049607600).

85838319168 is an abundant number, since it is smaller than the sum of its proper divisors (192260896032).

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

85838319168 is a wasteful number, since it uses less digits than its factorization.

85838319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480257 (or 480240 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 60.

The spelling of 85838319168 in words is "eighty-five billion, eight hundred thirty-eight million, three hundred nineteen thousand, one hundred sixty-eight".