5118082200 has 720 divisors, whose sum is σ = 22389869040. Its totient is φ = 1060646400.

The previous prime is 5118082133. The next prime is 5118082201. The reversal of 5118082200 is 22808115.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5118082201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13721214 + ... + 13721586.

Almost surely, 2^5118082200 is an apocalyptic number.

5118082200 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 5118082200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11194934520).

5118082200 is an abundant number, since it is smaller than the sum of its proper divisors (17271786840).

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

5118082200 is a wasteful number, since it uses less digits than its factorization.

5118082200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 5118082200 is about 71540.7729899531. The cubic root of 5118082200 is about 1723.3325285445.

The spelling of 5118082200 in words is "five billion, one hundred eighteen million, eighty-two thousand, two hundred".