5002009600 has 264 divisors, whose sum is σ = 14360572928. Its totient is φ = 1692057600.

The previous prime is 5002009591. The next prime is 5002009609. The reversal of 5002009600 is 69002005.

It is an interprime number because it is at equal distance from previous prime (5002009591) and next prime (5002009609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002009609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18457465 + ... + 18457735.

Almost surely, 2^5002009600 is an apocalyptic number.

5002009600 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 5002009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180286464).

5002009600 is an abundant number, since it is smaller than the sum of its proper divisors (9358563328).

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

5002009600 is a wasteful number, since it uses less digits than its factorization.

5002009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5002009600 is about 70724.8867089937. The cubic root of 5002009600 is about 1710.2050071689.

The spelling of 5002009600 in words is "five billion, two million, nine thousand, six hundred".