85394920888320 has 768 divisors, whose sum is σ = 280264336934400. Its totient is φ = 22190751744000.

The previous prime is 85394920888301. The next prime is 85394920888349. The reversal of 85394920888320 is 2388802949358.

It is a tau number, because it is divible by the number of its divisors (768).

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, 153312245482 + ... + 153312246038.

It is an arithmetic number, because the mean of its divisors is an integer number (364927522050).

Almost surely, 2^{85394920888320} is an apocalyptic number.

85394920888320 is a gapful number since it is divisible by the number (80) 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 85394920888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132168467200).

85394920888320 is an abundant number, since it is smaller than the sum of its proper divisors (194869416046080).

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

85394920888320 is a wasteful number, since it uses less digits than its factorization.

85394920888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 69.

The spelling of 85394920888320 in words is "eighty-five trillion, three hundred ninety-four billion, nine hundred twenty million, eight hundred eighty-eight thousand, three hundred twenty".