5585835359160 has 1280 divisors, whose sum is σ = 22751015823360. Its totient is φ = 1201719214080.

The previous prime is 5585835359149. The next prime is 5585835359191. The reversal of 5585835359160 is 619535385855.

5585835359160 is a `hidden beast` number, since 5 + 5 + 8 + 5 + 8 + 3 + 535 + 91 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11376446515 + ... + 11376447005.

It is an arithmetic number, because the mean of its divisors is an integer number (17774231112).

Almost surely, 2^{5585835359160} 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 5585835359160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11375507911680).

5585835359160 is an abundant number, since it is smaller than the sum of its proper divisors (17165180464200).

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

5585835359160 is a wasteful number, since it uses less digits than its factorization.

5585835359160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 97200000, while the sum is 63.

The spelling of 5585835359160 in words is "five trillion, five hundred eighty-five billion, eight hundred thirty-five million, three hundred fifty-nine thousand, one hundred sixty".