5800480200 has 192 divisors, whose sum is σ = 20233824000. Its totient is φ = 1527102720.

The previous prime is 5800480199. The next prime is 5800480201. The reversal of 5800480200 is 20840085.

5800480200 is a `hidden beast` number, since 580 + 0 + 4 + 80 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5800480199) and next prime (5800480201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5800480201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419802 + ... + 433398.

It is an arithmetic number, because the mean of its divisors is an integer number (105384500).

Almost surely, 2^5800480200 is an apocalyptic number.

5800480200 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 5800480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116912000).

5800480200 is an abundant number, since it is smaller than the sum of its proper divisors (14433343800).

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

5800480200 is a wasteful number, since it uses less digits than its factorization.

5800480200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5800480200 is about 76160.8836608400. The cubic root of 5800480200 is about 1796.7513626134.

The spelling of 5800480200 in words is "five billion, eight hundred million, four hundred eighty thousand, two hundred".