84085018200 has 288 divisors, whose sum is σ = 289997510400. Its totient is φ = 21825780480.

The previous prime is 84085018189. The next prime is 84085018217. The reversal of 84085018200 is 281058048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10934757 + ... + 10942443.

It is an arithmetic number, because the mean of its divisors is an integer number (1006935800).

Almost surely, 2^84085018200 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 84085018200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144998755200).

84085018200 is an abundant number, since it is smaller than the sum of its proper divisors (205912492200).

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

84085018200 is a wasteful number, since it uses less digits than its factorization.

84085018200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7871 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 84085018200 in words is "eighty-four billion, eighty-five million, eighteen thousand, two hundred".