85866843216 has 320 divisors, whose sum is σ = 284050391040. Its totient is φ = 21706513920.

The previous prime is 85866843197. The next prime is 85866843221. The reversal of 85866843216 is 61234866858.

It is a super-2 number, since 2×85866843216² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22458681 + ... + 22462503.

It is an arithmetic number, because the mean of its divisors is an integer number (887657472).

Almost surely, 2^85866843216 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 85866843216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142025195520).

85866843216 is an abundant number, since it is smaller than the sum of its proper divisors (198183547824).

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

85866843216 is a wasteful number, since it uses less digits than its factorization.

85866843216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4008 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The spelling of 85866843216 in words is "eighty-five billion, eight hundred sixty-six million, eight hundred forty-three thousand, two hundred sixteen".