5188757952 has 448 divisors, whose sum is σ = 17696931840. Its totient is φ = 1307443200.

The previous prime is 5188757921. The next prime is 5188757953. The reversal of 5188757952 is 2597578815.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

Its product of digits (7056000) is a multiple of the sum of its prime factors (300).

It is a junction number, because it is equal to n+sod(n) for n = 5188757892 and 5188757901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188757953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27166177 + ... + 27166367.

It is an arithmetic number, because the mean of its divisors is an integer number (39502080).

Almost surely, 2^5188757952 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 5188757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848465920).

5188757952 is an abundant number, since it is smaller than the sum of its proper divisors (12508173888).

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

5188757952 is a wasteful number, since it uses less digits than its factorization.

5188757952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 57.

The square root of 5188757952 is about 72033.0337553542. The cubic root of 5188757952 is about 1731.2288096700.

The spelling of 5188757952 in words is "five billion, one hundred eighty-eight million, seven hundred fifty-seven thousand, nine hundred fifty-two".