86204203800 has 384 divisors, whose sum is σ = 319292064000. Its totient is φ = 18962380800.

The previous prime is 86204203781. The next prime is 86204203801. The reversal of 86204203800 is 830240268.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86204203801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5053686 + ... + 5070714.

It is an arithmetic number, because the mean of its divisors is an integer number (831489750).

Almost surely, 2^86204203800 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 86204203800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159646032000).

86204203800 is an abundant number, since it is smaller than the sum of its proper divisors (233087860200).

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

86204203800 is a wasteful number, since it uses less digits than its factorization.

86204203800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17131 (or 17122 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 86204203800 in words is "eighty-six billion, two hundred four million, two hundred three thousand, eight hundred".