5008839967800 has 384 divisors, whose sum is σ = 18416517696000. Its totient is φ = 1247566924800.

The previous prime is 5008839967783. The next prime is 5008839967801. The reversal of 5008839967800 is 87699388005.

5008839967800 is a `hidden beast` number, since 500 + 8 + 8 + 39 + 96 + 7 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008839967801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6940804 + ... + 7628396.

It is an arithmetic number, because the mean of its divisors is an integer number (47959681500).

Almost surely, 2^{5008839967800} is an apocalyptic number.

5008839967800 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 5008839967800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208258848000).

5008839967800 is an abundant number, since it is smaller than the sum of its proper divisors (13407677728200).

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

5008839967800 is a wasteful number, since it uses less digits than its factorization.

5008839967800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687708 (or 687693 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 5008839967800 in words is "five trillion, eight billion, eight hundred thirty-nine million, nine hundred sixty-seven thousand, eight hundred".