578889679104 has 405 divisors, whose sum is σ = 1850100510895. Its totient is φ = 174082022400.

The previous prime is 578889679099. The next prime is 578889679153. The reversal of 578889679104 is 401976988875.

The square root of 578889679104 is 760848.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×578889679104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4419005119 + ... + 4419005249.

Almost surely, 2^578889679104 is an apocalyptic number.

578889679104 is the 760848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578889679104

578889679104 is an abundant number, since it is smaller than the sum of its proper divisors (1271210831791).

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

578889679104 is an frugal number, since it uses more digits than its factorization.

578889679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 578889679104 in words is "five hundred seventy-eight billion, eight hundred eighty-nine million, six hundred seventy-nine thousand, one hundred four".