5168578800 has 720 divisors, whose sum is σ = 21518158464. Its totient is φ = 1048320000.

The previous prime is 5168578787. The next prime is 5168578843. The reversal of 5168578800 is 88758615.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5168578800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39454735 + ... + 39454865.

Almost surely, 2^5168578800 is an apocalyptic number.

5168578800 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 5168578800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759079232).

5168578800 is an abundant number, since it is smaller than the sum of its proper divisors (16349579664).

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

5168578800 is a wasteful number, since it uses less digits than its factorization.

5168578800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The square root of 5168578800 is about 71892.8285714229. The cubic root of 5168578800 is about 1728.9816363941.

The spelling of 5168578800 in words is "five billion, one hundred sixty-eight million, five hundred seventy-eight thousand, eight hundred".