5116166166100 has 72 divisors (see below), whose sum is σ = 12130928258400. Its totient is φ = 1857418281600.

The previous prime is 5116166166049. The next prime is 5116166166107. The reversal of 5116166166100 is 16616616115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116166166107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3076015 + ... + 4437814.

It is an arithmetic number, because the mean of its divisors is an integer number (168485114700).

Almost surely, 2^{5116166166100} is an apocalyptic number.

5116166166100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5116166166100 is an abundant number, since it is smaller than the sum of its proper divisors (7014762092300).

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

5116166166100 is a wasteful number, since it uses less digits than its factorization.

5116166166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514473 (or 7514466 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 5116166166100 in words is "five trillion, one hundred sixteen billion, one hundred sixty-six million, one hundred sixty-six thousand, one hundred".