581553198240 has 384 divisors, whose sum is σ = 2184991925760. Its totient is φ = 127204589568.

The previous prime is 581553198223. The next prime is 581553198253. The reversal of 581553198240 is 42891355185.

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, 10984312 + ... + 11037128.

It is an arithmetic number, because the mean of its divisors is an integer number (5690083140).

Almost surely, 2^581553198240 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 581553198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092495962880).

581553198240 is an abundant number, since it is smaller than the sum of its proper divisors (1603438727520).

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

581553198240 is a wasteful number, since it uses less digits than its factorization.

581553198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52984 (or 52976 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 51.

The spelling of 581553198240 in words is "five hundred eighty-one billion, five hundred fifty-three million, one hundred ninety-eight thousand, two hundred forty".