5829150720 has 192 divisors, whose sum is σ = 19253445120. Its totient is φ = 1504051200.

The previous prime is 5829150709. The next prime is 5829150721. The reversal of 5829150720 is 270519285.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (5829150721) 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 15 ways as a sum of consecutive naturals, for example, 949260 + ... + 955380.

It is an arithmetic number, because the mean of its divisors is an integer number (100278360).

Almost surely, 2^5829150720 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 5829150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626722560).

5829150720 is an abundant number, since it is smaller than the sum of its proper divisors (13424294400).

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

5829150720 is a wasteful number, since it uses less digits than its factorization.

5829150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 5829150720 is about 76348.8750408282. The cubic root of 5829150720 is about 1799.7068164465.

The spelling of 5829150720 in words is "five billion, eight hundred twenty-nine million, one hundred fifty thousand, seven hundred twenty".