5800410000 has 1200 divisors, whose sum is σ = 27072933888. Its totient is φ = 1166400000.

The previous prime is 5800409999. The next prime is 5800410019. The reversal of 5800410000 is 140085.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 187109985 + ... + 187110015.

Almost surely, 2^5800410000 is an apocalyptic number.

5800410000 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 5800410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536466944).

5800410000 is an abundant number, since it is smaller than the sum of its proper divisors (21272523888).

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

5800410000 is a wasteful number, since it uses less digits than its factorization.

5800410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5800410000 is about 76160.4227929441. The cubic root of 5800410000 is about 1796.7441142219.

Adding to 5800410000 its reverse (140085), we get a palindrome (5800550085).

The spelling of 5800410000 in words is "five billion, eight hundred million, four hundred ten thousand".