5008130044800 has 768 divisors, whose sum is σ = 17229611520000. Its totient is φ = 1277709189120.

The previous prime is 5008130044783. The next prime is 5008130044817. The reversal of 5008130044800 is 84400318005.

It is an interprime number because it is at equal distance from previous prime (5008130044783) and next prime (5008130044817).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3885282556 + ... + 3885283844.

It is an arithmetic number, because the mean of its divisors is an integer number (22434390000).

Almost surely, 2^{5008130044800} is an apocalyptic number.

5008130044800 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 5008130044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614805760000).

5008130044800 is an abundant number, since it is smaller than the sum of its proper divisors (12221481475200).

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

5008130044800 is a wasteful number, since it uses less digits than its factorization.

5008130044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 5008130044800 in words is "five trillion, eight billion, one hundred thirty million, forty-four thousand, eight hundred".