85465170210816 has 312 divisors, whose sum is σ = 269362826404464. Its totient is φ = 25893639290880.

The previous prime is 85465170210799. The next prime is 85465170210859. The reversal of 85465170210816 is 61801207156458.

85465170210816 is a `hidden beast` number, since 8 + 5 + 4 + 6 + 517 + 0 + 2 + 108 + 16 = 666.

85465170210816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2545331820 + ... + 2545365396.

It is an arithmetic number, because the mean of its divisors is an integer number (863342392322).

Almost surely, 2^{85465170210816} 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 85465170210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134681413202232).

85465170210816 is an abundant number, since it is smaller than the sum of its proper divisors (183897656193648).

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

85465170210816 is a wasteful number, since it uses less digits than its factorization.

85465170210816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39895 (or 39870 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 85465170210816 in words is "eighty-five trillion, four hundred sixty-five billion, one hundred seventy million, two hundred ten thousand, eight hundred sixteen".