10516119168 has 128 divisors (see below), whose sum is σ = 28240617600. Its totient is φ = 3467079680.

The previous prime is 10516119127. The next prime is 10516119191. The reversal of 10516119168 is 86191161501.

10516119168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10516119168² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20660098 + ... + 20660606.

It is an arithmetic number, because the mean of its divisors is an integer number (220629825).

Almost surely, 2^10516119168 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 10516119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120308800).

10516119168 is an abundant number, since it is smaller than the sum of its proper divisors (17724498432).

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

10516119168 is a wasteful number, since it uses less digits than its factorization.

10516119168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 39.

The spelling of 10516119168 in words is "ten billion, five hundred sixteen million, one hundred nineteen thousand, one hundred sixty-eight".