5127168816 has 360 divisors, whose sum is σ = 18221944832. Its totient is φ = 1317254400.

The previous prime is 5127168751. The next prime is 5127168817. The reversal of 5127168816 is 6188617215.

5127168816 is a `hidden beast` number, since 512 + 71 + 68 + 8 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5127168817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15489771 + ... + 15490101.

Almost surely, 2^5127168816 is an apocalyptic number.

5127168816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5127168816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110972416).

5127168816 is an abundant number, since it is smaller than the sum of its proper divisors (13094776016).

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

5127168816 is a wasteful number, since it uses less digits than its factorization.

5127168816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 5127168816 is about 71604.2513821631. The cubic root of 5127168816 is about 1724.3517907292.

The spelling of 5127168816 in words is "five billion, one hundred twenty-seven million, one hundred sixty-eight thousand, eight hundred sixteen".