5115831583968 has 144 divisors (see below), whose sum is σ = 16649581777920. Its totient is φ = 1459632837888.

The previous prime is 5115831583949. The next prime is 5115831584027. The reversal of 5115831583968 is 8693851385115.

5115831583968 is a `hidden beast` number, since 5 + 1 + 1 + 583 + 15 + 8 + 39 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315180 + ... + 3214187.

It is an arithmetic number, because the mean of its divisors is an integer number (115622095680).

Almost surely, 2^{5115831583968} 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 5115831583968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324790888960).

5115831583968 is an abundant number, since it is smaller than the sum of its proper divisors (11533750193952).

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

5115831583968 is a wasteful number, since it uses less digits than its factorization.

5115831583968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530109 (or 3530098 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 63.

The spelling of 5115831583968 in words is "five trillion, one hundred fifteen billion, eight hundred thirty-one million, five hundred eighty-three thousand, nine hundred sixty-eight".