5806655013600 has 576 divisors, whose sum is σ = 24082938593280. Its totient is φ = 1322695526400.

The previous prime is 5806655013589. The next prime is 5806655013629. The reversal of 5806655013600 is 63105566085.

5806655013600 is a `hidden beast` number, since 5 + 8 + 0 + 66 + 550 + 1 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44236065 + ... + 44367135.

It is an arithmetic number, because the mean of its divisors is an integer number (41810657280).

Almost surely, 2^{5806655013600} is an apocalyptic number.

5806655013600 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 5806655013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12041469296640).

5806655013600 is an abundant number, since it is smaller than the sum of its proper divisors (18276283579680).

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

5806655013600 is a wasteful number, since it uses less digits than its factorization.

5806655013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131400 (or 131381 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 5806655013600 in words is "five trillion, eight hundred six billion, six hundred fifty-five million, thirteen thousand, six hundred".