5585959839600 has 1440 divisors, whose sum is σ = 23094259968000. Its totient is φ = 1249555507200.

The previous prime is 5585959839571. The next prime is 5585959839637. The reversal of 5585959839600 is 69389595855.

5585959839600 is a `hidden beast` number, since 5 + 5 + 8 + 5 + 9 + 5 + 9 + 8 + 3 + 9 + 600 = 666.

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 287 ways as a sum of consecutive naturals, for example, 16876011435 + ... + 16876011765.

Almost surely, 2^{5585959839600} is an apocalyptic number.

5585959839600 is a gapful number since it is divisible by the number (50) 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 5585959839600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11547129984000).

5585959839600 is an abundant number, since it is smaller than the sum of its proper divisors (17508300128400).

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

5585959839600 is a wasteful number, since it uses less digits than its factorization.

5585959839600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 524880000, while the sum is 72.

The spelling of 5585959839600 in words is "five trillion, five hundred eighty-five billion, nine hundred fifty-nine million, eight hundred thirty-nine thousand, six hundred".