5338658841600 has 1056 divisors, whose sum is σ = 20800867516416. Its totient is φ = 1182095769600.

The previous prime is 5338658841589. The next prime is 5338658841601. The reversal of 5338658841600 is 61488568335.

It is not an unprimeable number, because it can be changed into a prime (5338658841601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6186162769 + ... + 6186163631.

Almost surely, 2^{5338658841600} is an apocalyptic number.

5338658841600 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 5338658841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10400433758208).

5338658841600 is an abundant number, since it is smaller than the sum of its proper divisors (15462208674816).

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

5338658841600 is a wasteful number, since it uses less digits than its factorization.

5338658841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 5338658841600 in words is "five trillion, three hundred thirty-eight billion, six hundred fifty-eight million, eight hundred forty-one thousand, six hundred".