5580020160 has 672 divisors, whose sum is σ = 23904683712. Its totient is φ = 1173749760.

The previous prime is 5580020153. The next prime is 5580020183. The reversal of 5580020160 is 610200855.

5580020160 is a `hidden beast` number, since 5 + 580 + 0 + 20 + 1 + 60 = 666.

It is a super-2 number, since 2×5580020160² = 62273249972012851200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7000882 + ... + 7001678.

It is an arithmetic number, because the mean of its divisors is an integer number (35572446).

Almost surely, 2^5580020160 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 5580020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952341856).

5580020160 is an abundant number, since it is smaller than the sum of its proper divisors (18324663552).

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

5580020160 is a wasteful number, since it uses less digits than its factorization.

5580020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5580020160 is about 74699.5325286578. The cubic root of 5580020160 is about 1773.6935606540.

The spelling of 5580020160 in words is "five billion, five hundred eighty million, twenty thousand, one hundred sixty".