581561936256 has 384 divisors, whose sum is σ = 1843717075200. Its totient is φ = 161860349952.

The previous prime is 581561936239. The next prime is 581561936279. The reversal of 581561936256 is 652639165185.

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

It is a junction number, because it is equal to n+sod(n) for n = 581561936196 and 581561936205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406970550 + ... + 406971978.

It is an arithmetic number, because the mean of its divisors is an integer number (4801346550).

Almost surely, 2^581561936256 is an apocalyptic number.

581561936256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581561936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921858537600).

581561936256 is an abundant number, since it is smaller than the sum of its proper divisors (1262155138944).

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

581561936256 is a wasteful number, since it uses less digits than its factorization.

581561936256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1987 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 57.

The spelling of 581561936256 in words is "five hundred eighty-one billion, five hundred sixty-one million, nine hundred thirty-six thousand, two hundred fifty-six".