5585862205440 has 672 divisors, whose sum is σ = 21160857384576. Its totient is φ = 1351750778880.

The previous prime is 5585862205411. The next prime is 5585862205453. The reversal of 5585862205440 is 445022685855.

5585862205440 is a `hidden beast` number, since 5 + 5 + 8 + 5 + 8 + 622 + 0 + 5 + 4 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3596819704 + ... + 3596821256.

It is an arithmetic number, because the mean of its divisors is an integer number (31489371108).

Almost surely, 2^{5585862205440} 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 5585862205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580428692288).

5585862205440 is an abundant number, since it is smaller than the sum of its proper divisors (15574995179136).

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

5585862205440 is a wasteful number, since it uses less digits than its factorization.

5585862205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

The spelling of 5585862205440 in words is "five trillion, five hundred eighty-five billion, eight hundred sixty-two million, two hundred five thousand, four hundred forty".