5167316600 has 96 divisors (see below), whose sum is σ = 12747844800. Its totient is φ = 1941196800.

The previous prime is 5167316569. The next prime is 5167316621. The reversal of 5167316600 is 66137615.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1933265 + ... + 1935935.

It is an arithmetic number, because the mean of its divisors is an integer number (132790050).

Almost surely, 2^5167316600 is an apocalyptic number.

5167316600 is a gapful number since it is divisible by the number (50) 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 5167316600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373922400).

5167316600 is an abundant number, since it is smaller than the sum of its proper divisors (7580528200).

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

5167316600 is a wasteful number, since it uses less digits than its factorization.

5167316600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 5167316600 is about 71884.0496911519. The cubic root of 5167316600 is about 1728.8408821445.

The spelling of 5167316600 in words is "five billion, one hundred sixty-seven million, three hundred sixteen thousand, six hundred".