578339055360 has 1728 divisors, whose sum is σ = 2428794740736. Its totient is φ = 125544038400.

The previous prime is 578339055353. The next prime is 578339055373. The reversal of 578339055360 is 63550933875.

578339055360 is a `hidden beast` number, since 5 + 7 + 83 + 3 + 9 + 0 + 553 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 578339055297 and 578339055306.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3343000234 + ... + 3343000406.

It is an arithmetic number, because the mean of its divisors is an integer number (1405552512).

Almost surely, 2^578339055360 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 578339055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214397370368).

578339055360 is an abundant number, since it is smaller than the sum of its proper divisors (1850455685376).

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

578339055360 is a wasteful number, since it uses less digits than its factorization.

578339055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 578339055360 in words is "five hundred seventy-eight billion, three hundred thirty-nine million, fifty-five thousand, three hundred sixty".