5284780720128 has 960 divisors, whose sum is σ = 19643087761920. Its totient is φ = 1366938353664.

The previous prime is 5284780720103. The next prime is 5284780720213. The reversal of 5284780720128 is 8210270874825.

5284780720128 is a `hidden beast` number, since 5 + 28 + 478 + 0 + 7 + 20 + 128 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 2133539626 + ... + 2133542102.

It is an arithmetic number, because the mean of its divisors is an integer number (20461549752).

Almost surely, 2^{5284780720128} 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 5284780720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9821543880960).

5284780720128 is an abundant number, since it is smaller than the sum of its proper divisors (14358307041792).

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

5284780720128 is a wasteful number, since it uses less digits than its factorization.

5284780720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 5284780720128 in words is "five trillion, two hundred eighty-four billion, seven hundred eighty million, seven hundred twenty thousand, one hundred twenty-eight".