85223324160 has 960 divisors, whose sum is σ = 337815878400. Its totient is φ = 19697762304.

The previous prime is 85223324149. The next prime is 85223324161. The reversal of 85223324160 is 6142332258.

85223324160 is a `hidden beast` number, since 8 + 5 + 2 + 233 + 2 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85223324161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613117371 + ... + 613117509.

It is an arithmetic number, because the mean of its divisors is an integer number (351891540).

Almost surely, 2^85223324160 is an apocalyptic number.

85223324160 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 85223324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168907939200).

85223324160 is an abundant number, since it is smaller than the sum of its proper divisors (252592554240).

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

85223324160 is a wasteful number, since it uses less digits than its factorization.

85223324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 85223324160 in words is "eighty-five billion, two hundred twenty-three million, three hundred twenty-four thousand, one hundred sixty".