5105991168 has 400 divisors, whose sum is σ = 16363122336. Its totient is φ = 1581465600.

The previous prime is 5105991127. The next prime is 5105991181. The reversal of 5105991168 is 8611995015.

5105991168 is a `hidden beast` number, since 51 + 0 + 599 + 1 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×5105991168² = 52142291615388008448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50554318 + ... + 50554418.

Almost surely, 2^5105991168 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 5105991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181561168).

5105991168 is an abundant number, since it is smaller than the sum of its proper divisors (11257131168).

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

5105991168 is a wasteful number, since it uses less digits than its factorization.

5105991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The square root of 5105991168 is about 71456.2185397464. The cubic root of 5105991168 is about 1721.9743831856.

The spelling of 5105991168 in words is "five billion, one hundred five million, nine hundred ninety-one thousand, one hundred sixty-eight".