85322108160 has 360 divisors, whose sum is σ = 308191425696. Its totient is φ = 22536990720.

The previous prime is 85322108159. The next prime is 85322108173. The reversal of 85322108160 is 6180122358.

It is a happy number.

85322108160 is a `hidden beast` number, since 8 + 532 + 2 + 108 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11089915 + ... + 11097605.

Almost surely, 2^85322108160 is an apocalyptic number.

85322108160 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 85322108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154095712848).

85322108160 is an abundant number, since it is smaller than the sum of its proper divisors (222869317536).

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

85322108160 is a wasteful number, since it uses less digits than its factorization.

85322108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 85322108160 in words is "eighty-five billion, three hundred twenty-two million, one hundred eight thousand, one hundred sixty".