5809920000 has 480 divisors, whose sum is σ = 20724303600. Its totient is φ = 1441792000.

The previous prime is 5809919987. The next prime is 5809920043. The reversal of 5809920000 is 299085.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65279956 + ... + 65280044.

Almost surely, 2^5809920000 is an apocalyptic number.

5809920000 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 5809920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10362151800).

5809920000 is an abundant number, since it is smaller than the sum of its proper divisors (14914383600).

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

5809920000 is an equidigital number, since it uses as much as digits as its factorization.

5809920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 5809920000 is about 76222.8312252963. The cubic root of 5809920000 is about 1797.7255222450.

The spelling of 5809920000 in words is "five billion, eight hundred nine million, nine hundred twenty thousand".