5004617363200 has 432 divisors, whose sum is σ = 15272812477440. Its totient is φ = 1581072629760.

The previous prime is 5004617363197. The next prime is 5004617363219. The reversal of 5004617363200 is 23637164005.

It is a self number, because there is not a number n which added to its sum of digits gives 5004617363200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341861481 + ... + 341876119.

Almost surely, 2^{5004617363200} is an apocalyptic number.

5004617363200 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 5004617363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636406238720).

5004617363200 is an abundant number, since it is smaller than the sum of its proper divisors (10268195114240).

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

5004617363200 is a wasteful number, since it uses less digits than its factorization.

5004617363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15272 (or 15253 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 5004617363200 in words is "five trillion, four billion, six hundred seventeen million, three hundred sixty-three thousand, two hundred".