86728188200 has 96 divisors (see below), whose sum is σ = 207417974400. Its totient is φ = 33708387840.

The previous prime is 86728188179. The next prime is 86728188203. The reversal of 86728188200 is 288182768.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (86728188203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273412 + ... + 1339788.

It is an arithmetic number, because the mean of its divisors is an integer number (2160603900).

Almost surely, 2^86728188200 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 86728188200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103708987200).

86728188200 is an abundant number, since it is smaller than the sum of its proper divisors (120689786200).

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

86728188200 is a wasteful number, since it uses less digits than its factorization.

86728188200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66579 (or 66570 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 50.

The spelling of 86728188200 in words is "eighty-six billion, seven hundred twenty-eight million, one hundred eighty-eight thousand, two hundred".