5093338668800 has 216 divisors, whose sum is σ = 12894873331536. Its totient is φ = 1991083294720.

The previous prime is 5093338668799. The next prime is 5093338668863. The reversal of 5093338668800 is 88668333905.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5093338668800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87145187 + ... + 87203613.

It is an arithmetic number, because the mean of its divisors is an integer number (59698487646).

Almost surely, 2^{5093338668800} is an apocalyptic number.

5093338668800 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 5093338668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447436665768).

5093338668800 is an abundant number, since it is smaller than the sum of its proper divisors (7801534662736).

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

5093338668800 is a wasteful number, since it uses less digits than its factorization.

5093338668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58763 (or 58744 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 59.

The spelling of 5093338668800 in words is "five trillion, ninety-three billion, three hundred thirty-eight million, six hundred sixty-eight thousand, eight hundred".