5830225920 has 312 divisors, whose sum is σ = 20669628096. Its totient is φ = 1519386624.

The previous prime is 5830225903. The next prime is 5830225927. The reversal of 5830225920 is 295220385.

5830225920 is a `hidden beast` number, since 583 + 0 + 2 + 2 + 59 + 20 = 666.

It is a super-3 number, since 3×5830225920³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5830225927) 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, 8662704 + ... + 8663376.

It is an arithmetic number, because the mean of its divisors is an integer number (66248808).

Almost surely, 2^5830225920 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 5830225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334814048).

5830225920 is an abundant number, since it is smaller than the sum of its proper divisors (14839402176).

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

5830225920 is a wasteful number, since it uses less digits than its factorization.

5830225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5830225920 is about 76355.9160772759. The cubic root of 5830225920 is about 1799.8174629711.

The spelling of 5830225920 in words is "five billion, eight hundred thirty million, two hundred twenty-five thousand, nine hundred twenty".