5488867584 has 288 divisors, whose sum is σ = 16997904000. Its totient is φ = 1744920576.

The previous prime is 5488867577. The next prime is 5488867589. The reversal of 5488867584 is 4857688845.

5488867584 is a `hidden beast` number, since 5 + 48 + 8 + 8 + 6 + 7 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5488867589) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27862174 + ... + 27862370.

It is an arithmetic number, because the mean of its divisors is an integer number (59020500).

Almost surely, 2^5488867584 is an apocalyptic number.

5488867584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5488867584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498952000).

5488867584 is an abundant number, since it is smaller than the sum of its proper divisors (11509036416).

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

5488867584 is a wasteful number, since it uses less digits than its factorization.

5488867584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 63.

The square root of 5488867584 is about 74086.8921199965. The cubic root of 5488867584 is about 1763.9824145593.

The spelling of 5488867584 in words is "five billion, four hundred eighty-eight million, eight hundred sixty-seven thousand, five hundred eighty-four".