5809972608 has 384 divisors, whose sum is σ = 19571760000. Its totient is φ = 1635655680.

The previous prime is 5809972591. The next prime is 5809972613. The reversal of 5809972608 is 8062799085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14205108 + ... + 14205516.

It is an arithmetic number, because the mean of its divisors is an integer number (50968125).

Almost surely, 2^5809972608 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 5809972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785880000).

5809972608 is an abundant number, since it is smaller than the sum of its proper divisors (13761787392).

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

5809972608 is a wasteful number, since it uses less digits than its factorization.

5809972608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 5809972608 is about 76223.1763179678. The cubic root of 5809972608 is about 1797.7309482784.

The spelling of 5809972608 in words is "five billion, eight hundred nine million, nine hundred seventy-two thousand, six hundred eight".