5289780960 has 288 divisors, whose sum is σ = 18797819040. Its totient is φ = 1352945664.

The previous prime is 5289780959. The next prime is 5289780997. The reversal of 5289780960 is 690879825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5289780897 and 5289780906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8226399 + ... + 8227041.

It is an arithmetic number, because the mean of its divisors is an integer number (65270205).

Almost surely, 2^5289780960 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 5289780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398909520).

5289780960 is an abundant number, since it is smaller than the sum of its proper divisors (13508038080).

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

5289780960 is a wasteful number, since it uses less digits than its factorization.

5289780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 5289780960 is about 72730.8803741574. The cubic root of 5289780960 is about 1742.3921121708.

The spelling of 5289780960 in words is "five billion, two hundred eighty-nine million, seven hundred eighty thousand, nine hundred sixty".