8353725120 has 672 divisors, whose sum is σ = 32951318400. Its totient is φ = 1926955008.

The previous prime is 8353725071. The next prime is 8353725139. The reversal of 8353725120 is 215273538.

It is a happy number.

8353725120 is a `hidden beast` number, since 83 + 537 + 25 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76639626 + ... + 76639734.

It is an arithmetic number, because the mean of its divisors is an integer number (49034700).

Almost surely, 2^8353725120 is an apocalyptic number.

8353725120 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 8353725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475659200).

8353725120 is an abundant number, since it is smaller than the sum of its proper divisors (24597593280).

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

8353725120 is a wasteful number, since it uses less digits than its factorization.

8353725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 8353725120 is about 91398.7150894366. The cubic root of 8353725120 is about 2029.0530110259.

Adding to 8353725120 its reverse (215273538), we get a palindrome (8568998658).

The spelling of 8353725120 in words is "eight billion, three hundred fifty-three million, seven hundred twenty-five thousand, one hundred twenty".