581055581120 has 448 divisors, whose sum is σ = 1645112401920. Its totient is φ = 191387750400.

The previous prime is 581055581111. The next prime is 581055581137. The reversal of 581055581120 is 21185550185.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1868345765 + ... + 1868346075.

Almost surely, 2^581055581120 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 581055581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822556200960).

581055581120 is an abundant number, since it is smaller than the sum of its proper divisors (1064056820800).

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

581055581120 is a wasteful number, since it uses less digits than its factorization.

581055581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 41.

The spelling of 581055581120 in words is "five hundred eighty-one billion, fifty-five million, five hundred eighty-one thousand, one hundred twenty".