85218160320 has 448 divisors, whose sum is σ = 319157055360. Its totient is φ = 21331574784.

The previous prime is 85218160253. The next prime is 85218160343. The reversal of 85218160320 is 2306181258.

It is a happy number.

85218160320 is a `hidden beast` number, since 8 + 5 + 21 + 8 + 1 + 603 + 20 = 666.

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

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, 99437332 + ... + 99438188.

Almost surely, 2^85218160320 is an apocalyptic number.

85218160320 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 85218160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159578527680).

85218160320 is an abundant number, since it is smaller than the sum of its proper divisors (233938895040).

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

85218160320 is a wasteful number, since it uses less digits than its factorization.

85218160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1561 counting only the distinct ones).

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

The spelling of 85218160320 in words is "eighty-five billion, two hundred eighteen million, one hundred sixty thousand, three hundred twenty".