85936484700 has 864 divisors, whose sum is σ = 320871462912. Its totient is φ = 19027008000.

The previous prime is 85936484693. The next prime is 85936484717. The reversal of 85936484700 is 748463958.

85936484700 is a `hidden beast` number, since 8 + 5 + 93 + 6 + 484 + 70 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 656003635 + ... + 656003765.

It is an arithmetic number, because the mean of its divisors is an integer number (371379008).

Almost surely, 2^85936484700 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 85936484700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160435731456).

85936484700 is an abundant number, since it is smaller than the sum of its proper divisors (234934978212).

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

85936484700 is a wasteful number, since it uses less digits than its factorization.

85936484700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 85936484700 in words is "eighty-five billion, nine hundred thirty-six million, four hundred eighty-four thousand, seven hundred".