5028008785800 has 2304 divisors, whose sum is σ = 22214898155520. Its totient is φ = 923747328000.

The previous prime is 5028008785799. The next prime is 5028008785819. The reversal of 5028008785800 is 85878008205.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22547124489 + ... + 22547124711.

It is an arithmetic number, because the mean of its divisors is an integer number (9641882880).

Almost surely, 2^{5028008785800} is an apocalyptic number.

5028008785800 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 5028008785800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107449077760).

5028008785800 is an abundant number, since it is smaller than the sum of its proper divisors (17186889369720).

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

5028008785800 is a wasteful number, since it uses less digits than its factorization.

5028008785800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 51.

The spelling of 5028008785800 in words is "five trillion, twenty-eight billion, eight million, seven hundred eighty-five thousand, eight hundred".