5115232384128 has 160 divisors (see below), whose sum is σ = 15224539882860. Its totient is φ = 1704888041472.

The previous prime is 5115232384123. The next prime is 5115232384151. The reversal of 5115232384128 is 8214832325115.

5115232384128 is a `hidden beast` number, since 5 + 1 + 1 + 523 + 23 + 84 + 1 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5088778012224 + 26454371904 = 2255832^2 + 162648^2 .

It is a super-3 number, since 3×5115232384128³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5115232384123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117686176 + ... + 117729632.

Almost surely, 2^{5115232384128} 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 5115232384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612269941430).

5115232384128 is an abundant number, since it is smaller than the sum of its proper divisors (10109307498732).

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

5115232384128 is a wasteful number, since it uses less digits than its factorization.

5115232384128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54836 (or 54815 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 5115232384128 in words is "five trillion, one hundred fifteen billion, two hundred thirty-two million, three hundred eighty-four thousand, one hundred twenty-eight".