5585855022720 has 960 divisors, whose sum is σ = 23268697194600. Its totient is φ = 1273259409408.

The previous prime is 5585855022701. The next prime is 5585855022733. The reversal of 5585855022720 is 272205585855.

5585855022720 is a `hidden beast` number, since 5 + 5 + 8 + 585 + 50 + 2 + 2 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4521474893376 + 1064380129344 = 2126376^2 + 1031688^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 988119414 + ... + 988125066.

Almost surely, 2^{5585855022720} 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 5585855022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11634348597300).

5585855022720 is an abundant number, since it is smaller than the sum of its proper divisors (17682842171880).

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

5585855022720 is a wasteful number, since it uses less digits than its factorization.

5585855022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 11200000, while the sum is 54.

The spelling of 5585855022720 in words is "five trillion, five hundred eighty-five billion, eight hundred fifty-five million, twenty-two thousand, seven hundred twenty".