8389725120 has 896 divisors, whose sum is σ = 36576000000. Its totient is φ = 1804529664.

The previous prime is 8389725109. The next prime is 8389725121. The reversal of 8389725120 is 215279838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8389725121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56306806 + ... + 56306954.

Almost surely, 2^8389725120 is an apocalyptic number.

8389725120 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 8389725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288000000).

8389725120 is an abundant number, since it is smaller than the sum of its proper divisors (28186274880).

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

8389725120 is a wasteful number, since it uses less digits than its factorization.

8389725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8389725120 is about 91595.4426813911. The cubic root of 8389725120 is about 2031.9635381061.

The spelling of 8389725120 in words is "eight billion, three hundred eighty-nine million, seven hundred twenty-five thousand, one hundred twenty".