5800132800 has 504 divisors, whose sum is σ = 25706783232. Its totient is φ = 1204992000.

The previous prime is 5800132769. The next prime is 5800132823. The reversal of 5800132800 is 82310085.

It is a happy number.

5800132800 is a `hidden beast` number, since 580 + 0 + 1 + 3 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 1106185 + ... + 1111415.

Almost surely, 2^5800132800 is an apocalyptic number.

5800132800 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 5800132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12853391616).

5800132800 is an abundant number, since it is smaller than the sum of its proper divisors (19906650432).

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

5800132800 is a wasteful number, since it uses less digits than its factorization.

5800132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5800132800 is about 76158.6029283626. The cubic root of 5800132800 is about 1796.7154917968.

Adding to 5800132800 its reverse (82310085), we get a palindrome (5882442885).

The spelling of 5800132800 in words is "five billion, eight hundred million, one hundred thirty-two thousand, eight hundred".