5578607827200 has 864 divisors, whose sum is σ = 20998128033792. Its totient is φ = 1295990784000.

The previous prime is 5578607827159. The next prime is 5578607827201. The reversal of 5578607827200 is 27287068755.

It is a super-3 number, since 3×5578607827200³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5578607827201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232711215 + ... + 232735185.

It is an arithmetic number, because the mean of its divisors is an integer number (24303388928).

Almost surely, 2^{5578607827200} is an apocalyptic number.

5578607827200 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 5578607827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499064016896).

5578607827200 is an abundant number, since it is smaller than the sum of its proper divisors (15419520206592).

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

5578607827200 is a wasteful number, since it uses less digits than its factorization.

5578607827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24071 (or 24052 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 57.

The spelling of 5578607827200 in words is "five trillion, five hundred seventy-eight billion, six hundred seven million, eight hundred twenty-seven thousand, two hundred".