5585217333696 has 784 divisors, whose sum is σ = 22311320790528. Its totient is φ = 1339101849600.

The previous prime is 5585217333671. The next prime is 5585217333733. The reversal of 5585217333696 is 6963337125855.

5585217333696 is a `hidden beast` number, since 5 + 5 + 8 + 521 + 73 + 3 + 36 + 9 + 6 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 46642861 + ... + 46762451.

Almost surely, 2^{5585217333696} is an apocalyptic number.

5585217333696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5585217333696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155660395264).

5585217333696 is an abundant number, since it is smaller than the sum of its proper divisors (16726103456832).

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

5585217333696 is a wasteful number, since it uses less digits than its factorization.

5585217333696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119652 (or 119627 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 5585217333696 in words is "five trillion, five hundred eighty-five billion, two hundred seventeen million, three hundred thirty-three thousand, six hundred ninety-six".