5117575680 has 480 divisors, whose sum is σ = 21159895680. Its totient is φ = 1168957440.

The previous prime is 5117575627. The next prime is 5117575699. The reversal of 5117575680 is 865757115.

5117575680 is a `hidden beast` number, since 5 + 1 + 17 + 575 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3386125 + ... + 3387635.

It is an arithmetic number, because the mean of its divisors is an integer number (44083116).

Almost surely, 2^5117575680 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 5117575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579947840).

5117575680 is an abundant number, since it is smaller than the sum of its proper divisors (16042320000).

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

5117575680 is a wasteful number, since it uses less digits than its factorization.

5117575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1528 counting only the distinct ones).

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

The square root of 5117575680 is about 71537.2328231949. The cubic root of 5117575680 is about 1723.2756757914.

The spelling of 5117575680 in words is "five billion, one hundred seventeen million, five hundred seventy-five thousand, six hundred eighty".