5800032000 has 864 divisors, whose sum is σ = 25081842240. Its totient is φ = 1316044800.

The previous prime is 5800031981. The next prime is 5800032013. The reversal of 5800032000 is 2300085.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42335932 + ... + 42336068.

It is an arithmetic number, because the mean of its divisors is an integer number (29029910).

Almost surely, 2^5800032000 is an apocalyptic number.

5800032000 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 5800032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540921120).

5800032000 is an abundant number, since it is smaller than the sum of its proper divisors (19281810240).

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

5800032000 is a wasteful number, since it uses less digits than its factorization.

5800032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5800032000 is about 76157.9411486419. The cubic root of 5800032000 is about 1796.7050834161.

Adding to 5800032000 its reverse (2300085), we get a palindrome (5802332085).

It can be divided in two parts, 58000 and 32000, that added together give a square (90000 = 300²).

The spelling of 5800032000 in words is "five billion, eight hundred million, thirty-two thousand".