5609912580 has 288 divisors, whose sum is σ = 18198835200. Its totient is φ = 1450068480.

The previous prime is 5609912557. The next prime is 5609912587. The reversal of 5609912580 is 852199065.

5609912580 is a `hidden beast` number, since 5 + 60 + 9 + 9 + 1 + 2 + 580 = 666.

It is a super-2 number, since 2×5609912580² = 62942238310484512800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5609912587) 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, 37650346 + ... + 37650494.

It is an arithmetic number, because the mean of its divisors is an integer number (63190400).

Almost surely, 2^5609912580 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 5609912580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

5609912580 is an abundant number, since it is smaller than the sum of its proper divisors (12588922620).

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

5609912580 is a wasteful number, since it uses less digits than its factorization.

5609912580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5609912580 is about 74899.3496633983. The cubic root of 5609912580 is about 1776.8551738911.

The spelling of 5609912580 in words is "five billion, six hundred nine million, nine hundred twelve thousand, five hundred eighty".