85817993184 has 288 divisors, whose sum is σ = 317639750400. Its totient is φ = 22290266880.

The previous prime is 85817993161. The next prime is 85817993213. The reversal of 85817993184 is 48139971858.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373557 + ... + 557835.

It is an arithmetic number, because the mean of its divisors is an integer number (1102915800).

Almost surely, 2^85817993184 is an apocalyptic number.

85817993184 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85817993184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158819875200).

85817993184 is an abundant number, since it is smaller than the sum of its proper divisors (231821757216).

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

85817993184 is a wasteful number, since it uses less digits than its factorization.

85817993184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184323 (or 184302 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 85817993184 in words is "eighty-five billion, eight hundred seventeen million, nine hundred ninety-three thousand, one hundred eighty-four".