5806425600 has 480 divisors, whose sum is σ = 21783025440. Its totient is φ = 1514373120.

The previous prime is 5806425589. The next prime is 5806425619. The reversal of 5806425600 is 65246085.

5806425600 is a `hidden beast` number, since 5 + 8 + 0 + 6 + 42 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18316642 + ... + 18316958.

It is an arithmetic number, because the mean of its divisors is an integer number (45381303).

Almost surely, 2^5806425600 is an apocalyptic number.

5806425600 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 5806425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10891512720).

5806425600 is an abundant number, since it is smaller than the sum of its proper divisors (15976599840).

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

5806425600 is a wasteful number, since it uses less digits than its factorization.

5806425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5806425600 is about 76199.9055117524. The cubic root of 5806425600 is about 1797.3650335220.

The spelling of 5806425600 in words is "five billion, eight hundred six million, four hundred twenty-five thousand, six hundred".