5418316800 has 792 divisors, whose sum is σ = 21989627296. Its totient is φ = 1313832960.

The previous prime is 5418316777. The next prime is 5418316817. The reversal of 5418316800 is 86138145.

5418316800 is a `hidden beast` number, since 541 + 8 + 31 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80870367 + ... + 80870433.

Almost surely, 2^5418316800 is an apocalyptic number.

5418316800 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 5418316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10994813648).

5418316800 is an abundant number, since it is smaller than the sum of its proper divisors (16571310496).

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

5418316800 is a wasteful number, since it uses less digits than its factorization.

5418316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5418316800 is about 73609.2168142007. The cubic root of 5418316800 is about 1756.3920579273.

The spelling of 5418316800 in words is "five billion, four hundred eighteen million, three hundred sixteen thousand, eight hundred".