5583882240 has 144 divisors (see below), whose sum is σ = 19353051900. Its totient is φ = 1489010688.

The previous prime is 5583882221. The next prime is 5583882251. The reversal of 5583882240 is 422883855.

5583882240 is a `hidden beast` number, since 5 + 583 + 8 + 8 + 22 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5478368256 + 105513984 = 74016^2 + 10272^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61866 + ... + 122454.

Almost surely, 2^5583882240 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 5583882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676525950).

5583882240 is an abundant number, since it is smaller than the sum of its proper divisors (13769169660).

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

5583882240 is a wasteful number, since it uses less digits than its factorization.

5583882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60622 (or 60599 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5583882240 is about 74725.3788213884. The cubic root of 5583882240 is about 1774.1026730734.

The spelling of 5583882240 in words is "five billion, five hundred eighty-three million, eight hundred eighty-two thousand, two hundred forty".