5115948768 has 192 divisors, whose sum is σ = 17117291520. Its totient is φ = 1456206336.

The previous prime is 5115948767. The next prime is 5115948769. The reversal of 5115948768 is 8678495115.

It is a happy number.

5115948768 is a `hidden beast` number, since 5 + 1 + 159 + 487 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5115948767) and next prime (5115948769).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5115948763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1770621 + ... + 1773507.

It is an arithmetic number, because the mean of its divisors is an integer number (89152560).

Almost surely, 2^5115948768 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 5115948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558645760).

5115948768 is an abundant number, since it is smaller than the sum of its proper divisors (12001342752).

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

5115948768 is a wasteful number, since it uses less digits than its factorization.

5115948768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3192 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The square root of 5115948768 is about 71525.8608336873. The cubic root of 5115948768 is about 1723.0930427636.

The spelling of 5115948768 in words is "five billion, one hundred fifteen million, nine hundred forty-eight thousand, seven hundred sixty-eight".