578104343328960 has 2016 divisors, whose sum is σ = 2544941413048320. Its totient is φ = 119554154496000.

The previous prime is 578104343328881. The next prime is 578104343328989. The reversal of 578104343328960 is 69823343401875.

It is a happy number.

578104343328960 is a `hidden beast` number, since 5 + 7 + 8 + 1 + 0 + 4 + 343 + 3 + 289 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 11229880501 + ... + 11229931979.

It is a 1-persistent number, because it is pandigital, but 2⋅578104343328960 = 1156208686657920 is not.

Almost surely, 2^{578104343328960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578104343328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272470706524160).

578104343328960 is an abundant number, since it is smaller than the sum of its proper divisors (1966837069719360).

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

578104343328960 is a wasteful number, since it uses less digits than its factorization.

578104343328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51715 (or 51695 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 578104343328960 in words is "five hundred seventy-eight trillion, one hundred four billion, three hundred forty-three million, three hundred twenty-eight thousand, nine hundred sixty".