5585886720 has 480 divisors, whose sum is σ = 20590682112. Its totient is φ = 1396555776.

The previous prime is 5585886701. The next prime is 5585886721. The reversal of 5585886720 is 276885855.

It is a happy number.

5585886720 is a `hidden beast` number, since 5 + 58 + 588 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585886721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43983297 + ... + 43983423.

Almost surely, 2^5585886720 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 5585886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295341056).

5585886720 is an abundant number, since it is smaller than the sum of its proper divisors (15004795392).

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

5585886720 is a wasteful number, since it uses less digits than its factorization.

5585886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The square root of 5585886720 is about 74738.7899286575. The cubic root of 5585886720 is about 1774.3149344675.

The spelling of 5585886720 in words is "five billion, five hundred eighty-five million, eight hundred eighty-six thousand, seven hundred twenty".