5585685657552 has 1200 divisors, whose sum is σ = 22215252007872. Its totient is φ = 1331868303360.

The previous prime is 5585685657529. The next prime is 5585685657599. The reversal of 5585685657552 is 2557565865855.

5585685657552 is a `hidden beast` number, since 5 + 5 + 8 + 5 + 6 + 8 + 5 + 65 + 7 + 552 = 666.

It is a super-2 number, since 2×5585685657552² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1752645303 + ... + 1752648489.

Almost surely, 2^{5585685657552} is an apocalyptic number.

5585685657552 is a gapful number since it is divisible by the number (52) 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 5585685657552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107626003936).

5585685657552 is an abundant number, since it is smaller than the sum of its proper divisors (16629566350320).

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

5585685657552 is a wasteful number, since it uses less digits than its factorization.

5585685657552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3416 counting only the distinct ones).

The product of its digits is 2520000000, while the sum is 72.

The spelling of 5585685657552 in words is "five trillion, five hundred eighty-five billion, six hundred eighty-five million, six hundred fifty-seven thousand, five hundred fifty-two".