581648820641280 has 2880 divisors, whose sum is σ = 2467329651420480. Its totient is φ = 129486620196864.

The previous prime is 581648820641227. The next prime is 581648820641281. The reversal of 581648820641280 is 82146028846185.

581648820641280 is a `hidden beast` number, since 5 + 8 + 1 + 6 + 4 + 8 + 8 + 206 + 412 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581648820641281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2263224982912 + ... + 2263224983168.

It is an arithmetic number, because the mean of its divisors is an integer number (856711684521).

Almost surely, 2^{581648820641280} 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 581648820641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233664825710240).

581648820641280 is an abundant number, since it is smaller than the sum of its proper divisors (1885680830779200).

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

581648820641280 is an equidigital number, since it uses as much as digits as its factorization.

581648820641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 581648820641280 in words is "five hundred eighty-one trillion, six hundred forty-eight billion, eight hundred twenty million, six hundred forty-one thousand, two hundred eighty".