85349684700 has 432 divisors, whose sum is σ = 314218777600. Its totient is φ = 19368720000.

The previous prime is 85349684681. The next prime is 85349684731. The reversal of 85349684700 is 748694358.

85349684700 is a `hidden beast` number, since 8 + 5 + 3 + 496 + 84 + 70 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46612785 + ... + 46614615.

Almost surely, 2^85349684700 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 85349684700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157109388800).

85349684700 is an abundant number, since it is smaller than the sum of its proper divisors (228869092900).

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

85349684700 is a wasteful number, since it uses less digits than its factorization.

85349684700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 1999 counting only the distinct ones).

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

The spelling of 85349684700 in words is "eighty-five billion, three hundred forty-nine million, six hundred eighty-four thousand, seven hundred".