5800271813600 has 72 divisors (see below), whose sum is σ = 15447178457928. Its totient is φ = 2109189747200.

The previous prime is 5800271813599. The next prime is 5800271813603. The reversal of 5800271813600 is 63181720085.

It is a super-2 number, since 2×5800271813600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5800271813603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329552099 + ... + 329569698.

It is an arithmetic number, because the mean of its divisors is an integer number (214544145249).

Almost surely, 2^{5800271813600} is an apocalyptic number.

5800271813600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5800271813600 is an abundant number, since it is smaller than the sum of its proper divisors (9646906644328).

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

5800271813600 is a wasteful number, since it uses less digits than its factorization.

5800271813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659121828 (or 659121815 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 5800271813600 in words is "five trillion, eight hundred billion, two hundred seventy-one million, eight hundred thirteen thousand, six hundred".