85836816384 has 224 divisors, whose sum is σ = 251485603200. Its totient is φ = 25824460800.

The previous prime is 85836816281. The next prime is 85836816397. The reversal of 85836816384 is 48361863858.

It is a super-3 number, since 3×85836816384³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40278999 + ... + 40281129.

Almost surely, 2^85836816384 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 85836816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125742801600).

85836816384 is an abundant number, since it is smaller than the sum of its proper divisors (165648786816).

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

85836816384 is a wasteful number, since it uses less digits than its factorization.

85836816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2296 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 60.

The spelling of 85836816384 in words is "eighty-five billion, eight hundred thirty-six million, eight hundred sixteen thousand, three hundred eighty-four".