5008025248200 has 1152 divisors, whose sum is σ = 19506307766400. Its totient is φ = 1185624760320.

The previous prime is 5008025248189. The next prime is 5008025248297. The reversal of 5008025248200 is 28425208005.

5008025248200 is a `hidden beast` number, since 50 + 0 + 8 + 0 + 2 + 524 + 82 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8116734292 + ... + 8116734908.

It is an arithmetic number, because the mean of its divisors is an integer number (16932558825).

Almost surely, 2^{5008025248200} is an apocalyptic number.

5008025248200 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 5008025248200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753153883200).

5008025248200 is an abundant number, since it is smaller than the sum of its proper divisors (14498282518200).

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

5008025248200 is a wasteful number, since it uses less digits than its factorization.

5008025248200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 5008025248200 in words is "five trillion, eight billion, twenty-five million, two hundred forty-eight thousand, two hundred".