5159113648128 has 480 divisors, whose sum is σ = 16840757213280. Its totient is φ = 1560581406720.

The previous prime is 5159113648069. The next prime is 5159113648133. The reversal of 5159113648128 is 8218463119515.

5159113648128 is a `hidden beast` number, since 5 + 1 + 5 + 9 + 1 + 136 + 481 + 28 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1173323626 + ... + 1173328022.

It is an arithmetic number, because the mean of its divisors is an integer number (35084910861).

Almost surely, 2^{5159113648128} 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 5159113648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420378606640).

5159113648128 is an abundant number, since it is smaller than the sum of its proper divisors (11681643565152).

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

5159113648128 is a wasteful number, since it uses less digits than its factorization.

5159113648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5056 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 5159113648128 in words is "five trillion, one hundred fifty-nine billion, one hundred thirteen million, six hundred forty-eight thousand, one hundred twenty-eight".