5806286438400 has 1710 divisors, whose sum is σ = 24856303015362. Its totient is φ = 1294781644800.

The previous prime is 5806286438383. The next prime is 5806286438429. The reversal of 5806286438400 is 48346826085.

5806286438400 is a `hidden beast` number, since 5 + 8 + 0 + 628 + 6 + 4 + 3 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5664669696 + 5800621768704 = 75264^2 + 2408448^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 141616742380 + ... + 141616742420.

Almost surely, 2^{5806286438400} is an apocalyptic number.

5806286438400 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 5806286438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428151507681).

5806286438400 is an abundant number, since it is smaller than the sum of its proper divisors (19050016576962).

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

5806286438400 is an frugal number, since it uses more digits than its factorization.

5806286438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 5806286438400 in words is "five trillion, eight hundred six billion, two hundred eighty-six million, four hundred thirty-eight thousand, four hundred".