5188805318592 has 672 divisors, whose sum is σ = 18374453959680. Its totient is φ = 1367102914560.

The previous prime is 5188805318569. The next prime is 5188805318597. The reversal of 5188805318592 is 2958135088815.

5188805318592 is a `hidden beast` number, since 5 + 1 + 8 + 8 + 8 + 0 + 5 + 31 + 8 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188805318597) 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, 453283813 + ... + 453295259.

It is an arithmetic number, because the mean of its divisors is an integer number (27342937440).

Almost surely, 2^{5188805318592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5188805318592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187226979840).

5188805318592 is an abundant number, since it is smaller than the sum of its proper divisors (13185648641088).

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

5188805318592 is a wasteful number, since it uses less digits than its factorization.

5188805318592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 63.

The spelling of 5188805318592 in words is "five trillion, one hundred eighty-eight billion, eight hundred five million, three hundred eighteen thousand, five hundred ninety-two".