578085488256 has 128 divisors (see below), whose sum is σ = 1589500108800. Its totient is φ = 185958374400.

The previous prime is 578085488231. The next prime is 578085488261. The reversal of 578085488256 is 652884580875.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 4205901 + ... + 4341171.

It is an arithmetic number, because the mean of its divisors is an integer number (12417969600).

Almost surely, 2^578085488256 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 578085488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794750054400).

578085488256 is an abundant number, since it is smaller than the sum of its proper divisors (1011414620544).

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

578085488256 is a wasteful number, since it uses less digits than its factorization.

578085488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135678 (or 135666 counting only the distinct ones).

The product of its (nonzero) digits is 172032000, while the sum is 66.

The spelling of 578085488256 in words is "five hundred seventy-eight billion, eighty-five million, four hundred eighty-eight thousand, two hundred fifty-six".