5005555560 has 96 divisors (see below), whose sum is σ = 16312107240. Its totient is φ = 1331200512.

The previous prime is 5005555547. The next prime is 5005555571. The reversal of 5005555560 is 655555005.

5005555560 is a `hidden beast` number, since 50 + 0 + 5 + 55 + 556 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2348565444 + 2656990116 = 48462^2 + 51546^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 115642 + ... + 152918.

Almost surely, 2^5005555560 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 5005555560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156053620).

5005555560 is an abundant number, since it is smaller than the sum of its proper divisors (11306551680).

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

5005555560 is a wasteful number, since it uses less digits than its factorization.

5005555560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37667 (or 37660 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The square root of 5005555560 is about 70749.9509540466. The cubic root of 5005555560 is about 1710.6090371878.

The spelling of 5005555560 in words is "five billion, five million, five hundred fifty-five thousand, five hundred sixty".