578533105920 has 1152 divisors, whose sum is σ = 2387182694400. Its totient is φ = 118351134720.

The previous prime is 578533105901. The next prime is 578533105921. The reversal of 578533105920 is 29501335875.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 578533105920.

It is not an unprimeable number, because it can be changed into a prime (578533105921) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1057647087 + ... + 1057647633.

It is an arithmetic number, because the mean of its divisors is an integer number (2072207200).

Almost surely, 2^578533105920 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 578533105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193591347200).

578533105920 is an abundant number, since it is smaller than the sum of its proper divisors (1808649588480).

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

578533105920 is a wasteful number, since it uses less digits than its factorization.

578533105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 578533105920 in words is "five hundred seventy-eight billion, five hundred thirty-three million, one hundred five thousand, nine hundred twenty".