5168091600 has 300 divisors, whose sum is σ = 21198491424. Its totient is φ = 1181226240.

The previous prime is 5168091589. The next prime is 5168091601. The reversal of 5168091600 is 61908615.

5168091600 is a `hidden beast` number, since 516 + 80 + 9 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5168091601) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 215407 + ... + 238193.

Almost surely, 2^5168091600 is an apocalyptic number.

5168091600 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 5168091600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10599245712).

5168091600 is an abundant number, since it is smaller than the sum of its proper divisors (16030399824).

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

5168091600 is a wasteful number, since it uses less digits than its factorization.

5168091600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22824 (or 22804 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5168091600 is about 71889.4401146650. The cubic root of 5168091600 is about 1728.9273089955.

The spelling of 5168091600 in words is "five billion, one hundred sixty-eight million, ninety-one thousand, six hundred".