8205189120 has 360 divisors, whose sum is σ = 29443115520. Its totient is φ = 2111569920.

The previous prime is 8205189101. The next prime is 8205189127. The reversal of 8205189120 is 219815028.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205189127) 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, 22855501 + ... + 22855859.

It is an arithmetic number, because the mean of its divisors is an integer number (81786432).

Almost surely, 2^8205189120 is an apocalyptic number.

8205189120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8205189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721557760).

8205189120 is an abundant number, since it is smaller than the sum of its proper divisors (21237926400).

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

8205189120 is a wasteful number, since it uses less digits than its factorization.

8205189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 8205189120 is about 90582.4989719317. The cubic root of 8205189120 is about 2016.9549519647.

It can be divided in two parts, 82051 and 89120, that added together give a palindrome (171171).

The spelling of 8205189120 in words is "eight billion, two hundred five million, one hundred eighty-nine thousand, one hundred twenty".