5809409100 has 360 divisors, whose sum is σ = 20761514928. Its totient is φ = 1393459200.

The previous prime is 5809409077. The next prime is 5809409113. The reversal of 5809409100 is 19049085.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10068012 + ... + 10068588.

Almost surely, 2^5809409100 is an apocalyptic number.

5809409100 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 5809409100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10380757464).

5809409100 is an abundant number, since it is smaller than the sum of its proper divisors (14952105828).

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

5809409100 is a wasteful number, since it uses less digits than its factorization.

5809409100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5809409100 is about 76219.4797935541. The cubic root of 5809409100 is about 1797.6728258859.

The spelling of 5809409100 in words is "five billion, eight hundred nine million, four hundred nine thousand, one hundred".