578216786400 has 1296 divisors, whose sum is σ = 2352514679424. Its totient is φ = 132491520000.

The previous prime is 578216786359. The next prime is 578216786401. The reversal of 578216786400 is 4687612875.

578216786400 is a `hidden beast` number, since 5 + 78 + 2 + 167 + 8 + 6 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578216786401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5403895147 + ... + 5403895253.

It is an arithmetic number, because the mean of its divisors is an integer number (1815211944).

Almost surely, 2^578216786400 is an apocalyptic number.

578216786400 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 578216786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176257339712).

578216786400 is an abundant number, since it is smaller than the sum of its proper divisors (1774297893024).

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

578216786400 is a wasteful number, since it uses less digits than its factorization.

578216786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 578216786400 in words is "five hundred seventy-eight billion, two hundred sixteen million, seven hundred eighty-six thousand, four hundred".