5175718560 has 240 divisors, whose sum is σ = 19228255200. Its totient is φ = 1307487744.

The previous prime is 5175718523. The next prime is 5175718571. The reversal of 5175718560 is 658175715.

5175718560 is a `hidden beast` number, since 5 + 1 + 75 + 7 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5175718560² = 53576125224656947200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235731 + ... + 256749.

It is an arithmetic number, because the mean of its divisors is an integer number (80117730).

Almost surely, 2^5175718560 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 5175718560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9614127600).

5175718560 is an abundant number, since it is smaller than the sum of its proper divisors (14052536640).

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

5175718560 is a wasteful number, since it uses less digits than its factorization.

5175718560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21065 (or 21048 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The square root of 5175718560 is about 71942.4670135797. The cubic root of 5175718560 is about 1729.7773957068. Note that the first 3 decimals are identical.

The spelling of 5175718560 in words is "five billion, one hundred seventy-five million, seven hundred eighteen thousand, five hundred sixty".