5005827180 has 144 divisors (see below), whose sum is σ = 15991335360. Its totient is φ = 1265020416.

The previous prime is 5005827163. The next prime is 5005827209. The reversal of 5005827180 is 817285005.

5005827180 is a `hidden beast` number, since 5 + 0 + 0 + 582 + 71 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 445714 + ... + 456806.

It is an arithmetic number, because the mean of its divisors is an integer number (111050940).

Almost surely, 2^5005827180 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 5005827180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995667680).

5005827180 is an abundant number, since it is smaller than the sum of its proper divisors (10985508180).

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

5005827180 is a wasteful number, since it uses less digits than its factorization.

5005827180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11240 (or 11235 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 5005827180 is about 70751.8705053089. The cubic root of 5005827180 is about 1710.6399779573.

The spelling of 5005827180 in words is "five billion, five million, eight hundred twenty-seven thousand, one hundred eighty".