5032618330800 has 480 divisors, whose sum is σ = 18029951723520. Its totient is φ = 1193910681600.

The previous prime is 5032618330777. The next prime is 5032618330807. The reversal of 5032618330800 is 80338162305.

It is not an unprimeable number, because it can be changed into a prime (5032618330807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27100666 + ... + 27285734.

It is an arithmetic number, because the mean of its divisors is an integer number (37562399424).

Almost surely, 2^{5032618330800} is an apocalyptic number.

5032618330800 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 5032618330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014975861760).

5032618330800 is an abundant number, since it is smaller than the sum of its proper divisors (12997333392720).

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

5032618330800 is a wasteful number, since it uses less digits than its factorization.

5032618330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185181 (or 185170 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 5032618330800 in words is "five trillion, thirty-two billion, six hundred eighteen million, three hundred thirty thousand, eight hundred".