85283120160 has 576 divisors, whose sum is σ = 352044403200. Its totient is φ = 19222769664.

The previous prime is 85283120123. The next prime is 85283120189. The reversal of 85283120160 is 6102138258.

It is a happy number.

85283120160 is a `hidden beast` number, since 8 + 528 + 3 + 120 + 1 + 6 + 0 = 666.

It is a super-3 number, since 3×85283120160³ (a number of 34 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 15449881 + ... + 15455399.

It is an arithmetic number, because the mean of its divisors is an integer number (611188200).

Almost surely, 2^85283120160 is an apocalyptic number.

85283120160 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 85283120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176022201600).

85283120160 is an abundant number, since it is smaller than the sum of its proper divisors (266761283040).

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

85283120160 is a wasteful number, since it uses less digits than its factorization.

85283120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5609 counting only the distinct ones).

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

The spelling of 85283120160 in words is "eighty-five billion, two hundred eighty-three million, one hundred twenty thousand, one hundred sixty".