5004589363200 has 3744 divisors, whose sum is σ = 23634641661120. Its totient is φ = 1030540492800.

The previous prime is 5004589363157. The next prime is 5004589363229. The reversal of 5004589363200 is 23639854005.

5004589363200 is a `hidden beast` number, since 5 + 0 + 0 + 4 + 5 + 8 + 9 + 3 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 94426214374 + ... + 94426214426.

Almost surely, 2^{5004589363200} is an apocalyptic number.

5004589363200 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 5004589363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817320830560).

5004589363200 is an abundant number, since it is smaller than the sum of its proper divisors (18630052297920).

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

5004589363200 is a wasteful number, since it uses less digits than its factorization.

5004589363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5004589363200 in words is "five trillion, four billion, five hundred eighty-nine million, three hundred sixty-three thousand, two hundred".