5509582848 has 416 divisors, whose sum is σ = 20381829120. Its totient is φ = 1428848640.

The previous prime is 5509582847. The next prime is 5509582873. The reversal of 5509582848 is 8482859055.

It is a happy number.

5509582848 is a `hidden beast` number, since 5 + 50 + 9 + 582 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×5509582848² = 60711006317951582208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5509582794 and 5509582803.

It is not an unprimeable number, because it can be changed into a prime (5509582847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8515261 + ... + 8515907.

Almost surely, 2^5509582848 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 5509582848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10190914560).

5509582848 is an abundant number, since it is smaller than the sum of its proper divisors (14872246272).

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

5509582848 is a wasteful number, since it uses less digits than its factorization.

5509582848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The square root of 5509582848 is about 74226.5643014682. The cubic root of 5509582848 is about 1766.1987483382.

The spelling of 5509582848 in words is "five billion, five hundred nine million, five hundred eighty-two thousand, eight hundred forty-eight".