5829030144 has 216 divisors, whose sum is σ = 19474512512. Its totient is φ = 1642291200.

The previous prime is 5829030113. The next prime is 5829030173. The reversal of 5829030144 is 4410309285.

5829030144 is a `hidden beast` number, since 582 + 9 + 0 + 30 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5829030099 and 5829030108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1174869 + ... + 1179819.

Almost surely, 2^5829030144 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 5829030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737256256).

5829030144 is an abundant number, since it is smaller than the sum of its proper divisors (13645482368).

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

5829030144 is a wasteful number, since it uses less digits than its factorization.

5829030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5829030144 is about 76348.0853983910. The cubic root of 5829030144 is about 1799.6944073806.

The spelling of 5829030144 in words is "five billion, eight hundred twenty-nine million, thirty thousand, one hundred forty-four".