85205894760 has 512 divisors, whose sum is σ = 340595712000. Its totient is φ = 18525044736.

The previous prime is 85205894759. The next prime is 85205894819. The reversal of 85205894760 is 6749850258.

85205894760 is a `hidden beast` number, since 8 + 52 + 0 + 589 + 4 + 7 + 6 + 0 = 666.

It is a super-3 number, since 3×85205894760³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85205894697 and 85205894706.

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 127 ways as a sum of consecutive naturals, for example, 33557571 + ... + 33560109.

It is an arithmetic number, because the mean of its divisors is an integer number (665226000).

Almost surely, 2^85205894760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85205894760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170297856000).

85205894760 is an abundant number, since it is smaller than the sum of its proper divisors (255389817240).

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

85205894760 is a wasteful number, since it uses less digits than its factorization.

85205894760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 85205894760 in words is "eighty-five billion, two hundred five million, eight hundred ninety-four thousand, seven hundred sixty".