5418760200 has 384 divisors, whose sum is σ = 21036153600. Its totient is φ = 1125089280.

The previous prime is 5418760189. The next prime is 5418760201. The reversal of 5418760200 is 20678145.

It is not an unprimeable number, because it can be changed into a prime (5418760201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2069292 + ... + 2071908.

It is an arithmetic number, because the mean of its divisors is an integer number (54781650).

Almost surely, 2^5418760200 is an apocalyptic number.

5418760200 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 5418760200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518076800).

5418760200 is an abundant number, since it is smaller than the sum of its proper divisors (15617393400).

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

5418760200 is a wasteful number, since it uses less digits than its factorization.

5418760200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5418760200 is about 73612.2286036770. The cubic root of 5418760200 is about 1756.4399672089.

The spelling of 5418760200 in words is "five billion, four hundred eighteen million, seven hundred sixty thousand, two hundred".