5005666560 has 144 divisors (see below), whose sum is σ = 16047198720. Its totient is φ = 1329807360.

The previous prime is 5005666553. The next prime is 5005666577. The reversal of 5005666560 is 656665005.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076721 + ... + 1081359.

It is an arithmetic number, because the mean of its divisors is an integer number (111438880).

Almost surely, 2^5005666560 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 5005666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023599360).

5005666560 is an abundant number, since it is smaller than the sum of its proper divisors (11041532160).

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

5005666560 is a wasteful number, since it uses less digits than its factorization.

5005666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 5005666560 is about 70750.7354025384. The cubic root of 5005666560 is about 1710.6216815518.

The spelling of 5005666560 in words is "five billion, five million, six hundred sixty-six thousand, five hundred sixty".