5589762048 has 306 divisors, whose sum is σ = 18058175954. Its totient is φ = 1719926784.

The previous prime is 5589762001. The next prime is 5589762049. The reversal of 5589762048 is 8402679855.

5589762048 is a `hidden beast` number, since 5 + 5 + 8 + 9 + 7 + 620 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3869835264 + 1719926784 = 62208^2 + 41472^2 .

It is a super-2 number, since 2×5589762048² = 62490879506522308608, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 5589761985 and 5589762003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5589762049) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 429981690 + ... + 429981702.

Almost surely, 2^5589762048 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 5589762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029087977).

5589762048 is an abundant number, since it is smaller than the sum of its proper divisors (12468413906).

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

5589762048 is an frugal number, since it uses more digits than its factorization.

5589762048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5589762048 is about 74764.7112480213. The cubic root of 5589762048 is about 1774.7251625517.

The spelling of 5589762048 in words is "five billion, five hundred eighty-nine million, seven hundred sixty-two thousand, forty-eight".