5127719364768 has 384 divisors, whose sum is σ = 18104038686720. Its totient is φ = 1227279237120.

The previous prime is 5127719364763. The next prime is 5127719364769. The reversal of 5127719364768 is 8674639177215.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 5127719364699 and 5127719364708.

It is not an unprimeable number, because it can be changed into a prime (5127719364763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55401153 + ... + 55493631.

It is an arithmetic number, because the mean of its divisors is an integer number (47145934080).

Almost surely, 2^{5127719364768} 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 5127719364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052019343360).

5127719364768 is an abundant number, since it is smaller than the sum of its proper divisors (12976319321952).

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

5127719364768 is a wasteful number, since it uses less digits than its factorization.

5127719364768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93100 (or 93092 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 66.

The spelling of 5127719364768 in words is "five trillion, one hundred twenty-seven billion, seven hundred nineteen million, three hundred sixty-four thousand, seven hundred sixty-eight".