5168419200 has 576 divisors, whose sum is σ = 21782891520. Its totient is φ = 1141862400.

The previous prime is 5168419189. The next prime is 5168419241. The reversal of 5168419200 is 29148615.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 71 ways as a sum of consecutive naturals, for example, 6249187 + ... + 6250013.

It is an arithmetic number, because the mean of its divisors is an integer number (37817520).

Almost surely, 2^5168419200 is an apocalyptic number.

5168419200 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 5168419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10891445760).

5168419200 is an abundant number, since it is smaller than the sum of its proper divisors (16614472320).

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

5168419200 is a wasteful number, since it uses less digits than its factorization.

5168419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5168419200 is about 71891.7185773160. The cubic root of 5168419200 is about 1728.9638398637.

The spelling of 5168419200 in words is "five billion, one hundred sixty-eight million, four hundred nineteen thousand, two hundred".