86045828200 has 192 divisors, whose sum is σ = 213180552000. Its totient is φ = 32207984640.

The previous prime is 86045828177. The next prime is 86045828201. The reversal of 86045828200 is 282854068.

It is not an unprimeable number, because it can be changed into a prime (86045828201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139007491 + ... + 139008109.

It is an arithmetic number, because the mean of its divisors is an integer number (1110315375).

Almost surely, 2^86045828200 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 86045828200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106590276000).

86045828200 is an abundant number, since it is smaller than the sum of its proper divisors (127134723800).

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

86045828200 is a wasteful number, since it uses less digits than its factorization.

86045828200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 86045828200 in words is "eighty-six billion, forty-five million, eight hundred twenty-eight thousand, two hundred".