85459833216 has 256 divisors, whose sum is σ = 260295840000. Its totient is φ = 27585515520.

The previous prime is 85459833169. The next prime is 85459833223. The reversal of 85459833216 is 61233895458.

85459833216 is a `hidden beast` number, since 8 + 5 + 4 + 598 + 3 + 32 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19693575 + ... + 19697913.

It is an arithmetic number, because the mean of its divisors is an integer number (1016780625).

Almost surely, 2^85459833216 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 85459833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130147920000).

85459833216 is an abundant number, since it is smaller than the sum of its proper divisors (174836006784).

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

85459833216 is a wasteful number, since it uses less digits than its factorization.

85459833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4524 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 85459833216 in words is "eighty-five billion, four hundred fifty-nine million, eight hundred thirty-three thousand, two hundred sixteen".