5575584960 has 672 divisors, whose sum is σ = 22538131200. Its totient is φ = 1250795520.

The previous prime is 5575584907. The next prime is 5575584961. The reversal of 5575584960 is 694855755.

5575584960 is a `hidden beast` number, since 5 + 57 + 5 + 584 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5575584897 and 5575584906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5575584961) 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 95 ways as a sum of consecutive naturals, for example, 35513202 + ... + 35513358.

Almost surely, 2^5575584960 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 5575584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11269065600).

5575584960 is an abundant number, since it is smaller than the sum of its proper divisors (16962546240).

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

5575584960 is a wasteful number, since it uses less digits than its factorization.

5575584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The square root of 5575584960 is about 74669.8396944844. The cubic root of 5575584960 is about 1773.2235043569.

It can be divided in two parts, 55755 and 84960, that added together give a triangular number (140715 = T₅₃₀).

The spelling of 5575584960 in words is "five billion, five hundred seventy-five million, five hundred eighty-four thousand, nine hundred sixty".