5782189100 has 72 divisors (see below), whose sum is σ = 12844802880. Its totient is φ = 2258283520.

The previous prime is 5782189087. The next prime is 5782189159. The reversal of 5782189100 is 19812875.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2391092 + ... + 2393508.

It is an arithmetic number, because the mean of its divisors is an integer number (178400040).

Almost surely, 2^5782189100 is an apocalyptic number.

5782189100 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 5782189100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422401440).

5782189100 is an abundant number, since it is smaller than the sum of its proper divisors (7062613780).

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

5782189100 is a wasteful number, since it uses less digits than its factorization.

5782189100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 41.

The square root of 5782189100 is about 76040.7068615225. The cubic root of 5782189100 is about 1794.8607625746.

The spelling of 5782189100 in words is "five billion, seven hundred eighty-two million, one hundred eighty-nine thousand, one hundred".