5005365638200 has 96 divisors (see below), whose sum is σ = 11678502528000. Its totient is φ = 1995091309440.

The previous prime is 5005365638191. The next prime is 5005365638237. The reversal of 5005365638200 is 28365635005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294650107 + ... + 294667093.

It is an arithmetic number, because the mean of its divisors is an integer number (121651068000).

Almost surely, 2^{5005365638200} is an apocalyptic number.

5005365638200 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 5005365638200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839251264000).

5005365638200 is an abundant number, since it is smaller than the sum of its proper divisors (6673136889800).

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

5005365638200 is a wasteful number, since it uses less digits than its factorization.

5005365638200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22109 (or 22100 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 5005365638200 in words is "five trillion, five billion, three hundred sixty-five million, six hundred thirty-eight thousand, two hundred".