85024308096 has 1792 divisors, whose sum is σ = 359609241600. Its totient is φ = 19349176320.

The previous prime is 85024308073. The next prime is 85024308139. The reversal of 85024308096 is 69080342058.

85024308096 is a `hidden beast` number, since 8 + 50 + 2 + 430 + 80 + 96 = 666.

It is a super-2 number, since 2×85024308096² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2742719601 + ... + 2742719631.

It is an arithmetic number, because the mean of its divisors is an integer number (200674800).

Almost surely, 2^85024308096 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 85024308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179804620800).

85024308096 is an abundant number, since it is smaller than the sum of its proper divisors (274584933504).

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

85024308096 is a wasteful number, since it uses less digits than its factorization.

85024308096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 85024308096 in words is "eighty-five billion, twenty-four million, three hundred eight thousand, ninety-six".