5829120000 has 780 divisors, whose sum is σ = 23951008224. Its totient is φ = 1351680000.

The previous prime is 5829119939. The next prime is 5829120001. The reversal of 5829120000 is 219285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5829120001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 253439989 + ... + 253440011.

Almost surely, 2^5829120000 is an apocalyptic number.

5829120000 is a gapful number since it is divisible by the number (50) 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 5829120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975504112).

5829120000 is an abundant number, since it is smaller than the sum of its proper divisors (18121888224).

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

5829120000 is a wasteful number, since it uses less digits than its factorization.

5829120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5829120000 is about 76348.6738588170. The cubic root of 5829120000 is about 1799.7036549173.

Adding to 5829120000 its reverse (219285), we get a palindrome (5829339285).

The spelling of 5829120000 in words is "five billion, eight hundred twenty-nine million, one hundred twenty thousand".