5806135600 has 90 divisors (see below), whose sum is σ = 14254516844. Its totient is φ = 2272694400.

The previous prime is 5806135589. The next prime is 5806135619. The reversal of 5806135600 is 65316085.

It is a super-2 number, since 2×5806135600² = 67422421211174720000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 880315 + ... + 886885.

Almost surely, 2^5806135600 is an apocalyptic number.

5806135600 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 5806135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127258422).

5806135600 is an abundant number, since it is smaller than the sum of its proper divisors (8448381244).

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

5806135600 is a wasteful number, since it uses less digits than its factorization.

5806135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 5806135600 is about 76198.0025984934. The cubic root of 5806135600 is about 1797.3351100904.

The spelling of 5806135600 in words is "five billion, eight hundred six million, one hundred thirty-five thousand, six hundred".