5009517180 has 144 divisors (see below), whose sum is σ = 15566136768. Its totient is φ = 1303680000.

The previous prime is 5009517173. The next prime is 5009517223. The reversal of 5009517180 is 817159005.

5009517180 is a `hidden beast` number, since 500 + 9 + 5 + 1 + 71 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288840 + ... + 1292720.

It is an arithmetic number, because the mean of its divisors is an integer number (108098172).

Almost surely, 2^5009517180 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 5009517180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783068384).

5009517180 is an abundant number, since it is smaller than the sum of its proper divisors (10556619588).

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

5009517180 is a wasteful number, since it uses less digits than its factorization.

5009517180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 5009517180 is about 70777.9427505491. The cubic root of 5009517180 is about 1711.0602022890.

The spelling of 5009517180 in words is "five billion, nine million, five hundred seventeen thousand, one hundred eighty".