580979202048 has 384 divisors, whose sum is σ = 1970977881600. Its totient is φ = 165646467072.

The previous prime is 580979201987. The next prime is 580979202049. The reversal of 580979202048 is 840202979085.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 580979201985 and 580979202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580979202049) 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 31 ways as a sum of consecutive naturals, for example, 227209986 + ... + 227212542.

It is an arithmetic number, because the mean of its divisors is an integer number (5132754900).

Almost surely, 2^580979202048 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 580979202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985488940800).

580979202048 is an abundant number, since it is smaller than the sum of its proper divisors (1389998679552).

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

580979202048 is a wasteful number, since it uses less digits than its factorization.

580979202048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 580979202048 in words is "five hundred eighty billion, nine hundred seventy-nine million, two hundred two thousand, forty-eight".