5800201344000 has 2200 divisors, whose sum is σ = 25325427060648. Its totient is φ = 1320070348800.

The previous prime is 5800201343999. The next prime is 5800201344023. The reversal of 5800201344000 is 4431020085.

5800201344000 is a `hidden beast` number, since 58 + 0 + 0 + 201 + 3 + 4 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 765527003136 + 5034674340864 = 874944^2 + 2243808^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 24893567884 + ... + 24893568116.

Almost surely, 2^{5800201344000} is an apocalyptic number.

5800201344000 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 5800201344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662713530324).

5800201344000 is an abundant number, since it is smaller than the sum of its proper divisors (19525225716648).

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

5800201344000 is an frugal number, since it uses more digits than its factorization.

5800201344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 5800201344000 its reverse (4431020085), we get a palindrome (5804632364085).

The spelling of 5800201344000 in words is "five trillion, eight hundred billion, two hundred one million, three hundred forty-four thousand".