5188734532800 has 6048 divisors, whose sum is σ = 27190229713920. Its totient is φ = 910924185600.

The previous prime is 5188734532763. The next prime is 5188734532811. The reversal of 5188734532800 is 82354378815.

5188734532800 is a `hidden beast` number, since 5 + 18 + 8 + 7 + 345 + 3 + 280 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 126554500780 + ... + 126554500820.

It is an arithmetic number, because the mean of its divisors is an integer number (4495739040).

Almost surely, 2^{5188734532800} is an apocalyptic number.

5188734532800 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 5188734532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595114856960).

5188734532800 is an abundant number, since it is smaller than the sum of its proper divisors (22001495181120).

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

5188734532800 is a wasteful number, since it uses less digits than its factorization.

5188734532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5188734532800 in words is "five trillion, one hundred eighty-eight billion, seven hundred thirty-four million, five hundred thirty-two thousand, eight hundred".