5168543760 has 120 divisors (see below), whose sum is σ = 17370863640. Its totient is φ = 1377232896.

The previous prime is 5168543749. The next prime is 5168543771. The reversal of 5168543760 is 673458615.

It is an interprime number because it is at equal distance from previous prime (5168543749) and next prime (5168543771).

It can be written as a sum of positive squares in 4 ways, for example, as 1238758416 + 3929785344 = 35196^2 + 62688^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609036 + ... + 1612244.

It is an arithmetic number, because the mean of its divisors is an integer number (144757197).

Almost surely, 2^5168543760 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 5168543760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685431820).

5168543760 is an abundant number, since it is smaller than the sum of its proper divisors (12202319880).

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

5168543760 is a wasteful number, since it uses less digits than its factorization.

5168543760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5168543760 is about 71892.5848749369. The cubic root of 5168543760 is about 1728.9777292173.

The spelling of 5168543760 in words is "five billion, one hundred sixty-eight million, five hundred forty-three thousand, seven hundred sixty".