5228608389120 has 1024 divisors, whose sum is σ = 19833638227200. Its totient is φ = 1302331392000.

The previous prime is 5228608389113. The next prime is 5228608389223. The reversal of 5228608389120 is 219838068225.

It is a happy number.

5228608389120 is a `hidden beast` number, since 5 + 2 + 2 + 8 + 608 + 3 + 8 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18875842422 + ... + 18875842698.

Almost surely, 2^{5228608389120} 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 5228608389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916819113600).

5228608389120 is an abundant number, since it is smaller than the sum of its proper divisors (14605029838080).

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

5228608389120 is a wasteful number, since it uses less digits than its factorization.

5228608389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 5228608389120 in words is "five trillion, two hundred twenty-eight billion, six hundred eight million, three hundred eighty-nine thousand, one hundred twenty".