85322160000 has 2240 divisors, whose sum is σ = 417938716800. Its totient is φ = 16796160000.

The previous prime is 85322159977. The next prime is 85322160023. The reversal of 85322160000 is 6122358.

85322160000 is a `hidden beast` number, since 8 + 5 + 32 + 21 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85322159977) and next prime (85322160023).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 4490639991 + ... + 4490640009.

Almost surely, 2^85322160000 is an apocalyptic number.

85322160000 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 85322160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208969358400).

85322160000 is an abundant number, since it is smaller than the sum of its proper divisors (332616556800).

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

85322160000 is an equidigital number, since it uses as much as digits as its factorization.

85322160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 85322160000 its reverse (6122358), we get a palindrome (85328282358).

The spelling of 85322160000 in words is "eighty-five billion, three hundred twenty-two million, one hundred sixty thousand".