5118094800 has 720 divisors, whose sum is σ = 23171016960. Its totient is φ = 1015234560.

The previous prime is 5118094769. The next prime is 5118094801. The reversal of 5118094800 is 84908115.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5118094801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5568741 + ... + 5569659.

It is an arithmetic number, because the mean of its divisors is an integer number (32181968).

Almost surely, 2^5118094800 is an apocalyptic number.

5118094800 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 5118094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11585508480).

5118094800 is an abundant number, since it is smaller than the sum of its proper divisors (18052922160).

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

5118094800 is a wasteful number, since it uses less digits than its factorization.

5118094800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5118094800 is about 71540.8610515697. The cubic root of 5118094800 is about 1723.3339427442. Note that the first 3 decimals are identical.

The spelling of 5118094800 in words is "five billion, one hundred eighteen million, ninety-four thousand, eight hundred".