5002008200 has 288 divisors, whose sum is σ = 14160031200. Its totient is φ = 1636992000.

The previous prime is 5002008199. The next prime is 5002008211. The reversal of 5002008200 is 28002005.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23706095 + ... + 23706305.

It is an arithmetic number, because the mean of its divisors is an integer number (49166775).

Almost surely, 2^5002008200 is an apocalyptic number.

5002008200 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 5002008200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080015600).

5002008200 is an abundant number, since it is smaller than the sum of its proper divisors (9158023000).

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

5002008200 is a wasteful number, since it uses less digits than its factorization.

5002008200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5002008200 is about 70724.8768114869. The cubic root of 5002008200 is about 1710.2048476139.

The spelling of 5002008200 in words is "five billion, two million, eight thousand, two hundred".