579050345080 has 128 divisors (see below), whose sum is σ = 1366462586880. Its totient is φ = 220419555840.

The previous prime is 579050345063. The next prime is 579050345089. The reversal of 579050345080 is 80543050975.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 579050345080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579050345089) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 177023845 + ... + 177027115.

It is an arithmetic number, because the mean of its divisors is an integer number (10675488960).

Almost surely, 2^579050345080 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 579050345080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683231293440).

579050345080 is an abundant number, since it is smaller than the sum of its proper divisors (787412241800).

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

579050345080 is a wasteful number, since it uses less digits than its factorization.

579050345080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 579050345080 in words is "five hundred seventy-nine billion, fifty million, three hundred forty-five thousand, eighty".