5829358080 has 640 divisors, whose sum is σ = 24198451200. Its totient is φ = 1162543104.

The previous prime is 5829358057. The next prime is 5829358091. The reversal of 5829358080 is 808539285.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5829358080² = 67962831249722572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13278501 + ... + 13278939.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 2^5829358080 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 5829358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099225600).

5829358080 is an abundant number, since it is smaller than the sum of its proper divisors (18369093120).

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

5829358080 is a wasteful number, since it uses less digits than its factorization.

5829358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 5829358080 is about 76350.2330055384. The cubic root of 5829358080 is about 1799.7281564780.

The spelling of 5829358080 in words is "five billion, eight hundred twenty-nine million, three hundred fifty-eight thousand, eighty".