5304309282288 has 320 divisors, whose sum is σ = 16574939136000. Its totient is φ = 1618644508416.

The previous prime is 5304309282281. The next prime is 5304309282323. The reversal of 5304309282288 is 8822829034035.

5304309282288 is a `hidden beast` number, since 5 + 30 + 4 + 309 + 28 + 2 + 288 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5304309282281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30389281 + ... + 30563327.

It is an arithmetic number, because the mean of its divisors is an integer number (51796684800).

Almost surely, 2^{5304309282288} 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 5304309282288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287469568000).

5304309282288 is an abundant number, since it is smaller than the sum of its proper divisors (11270629853712).

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

5304309282288 is a wasteful number, since it uses less digits than its factorization.

5304309282288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174209 (or 174197 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 5304309282288 in words is "five trillion, three hundred four billion, three hundred nine million, two hundred eighty-two thousand, two hundred eighty-eight".