5000587200 has 756 divisors, whose sum is σ = 21821531160. Its totient is φ = 1079930880.

The previous prime is 5000587199. The next prime is 5000587217. The reversal of 5000587200 is 27850005.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13406214 + ... + 13406586.

Almost surely, 2^5000587200 is an apocalyptic number.

5000587200 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 5000587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910765580).

5000587200 is an abundant number, since it is smaller than the sum of its proper divisors (16820943960).

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

5000587200 is a wasteful number, since it uses less digits than its factorization.

5000587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5000587200 is about 70714.8301277745. The cubic root of 5000587200 is about 1710.0428839148.

The spelling of 5000587200 in words is "five billion, five hundred eighty-seven thousand, two hundred".