5581845135360 has 768 divisors, whose sum is σ = 20974041597600. Its totient is φ = 1373195206656.

The previous prime is 5581845135337. The next prime is 5581845135431. The reversal of 5581845135360 is 635315481855.

5581845135360 is a `hidden beast` number, since 5 + 5 + 8 + 18 + 4 + 513 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 5581845135297 and 5581845135306.

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 47 ways as a sum of consecutive naturals, for example, 3239607459 + ... + 3239609181.

Almost surely, 2^{5581845135360} 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 5581845135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10487020798800).

5581845135360 is an abundant number, since it is smaller than the sum of its proper divisors (15392196462240).

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

5581845135360 is an equidigital number, since it uses as much as digits as its factorization.

5581845135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 5581845135360 in words is "five trillion, five hundred eighty-one billion, eight hundred forty-five million, one hundred thirty-five thousand, three hundred sixty".