5118205400 has 384 divisors, whose sum is σ = 15633285120. Its totient is φ = 1512000000.

The previous prime is 5118205397. The next prime is 5118205403. The reversal of 5118205400 is 45028115.

It is an interprime number because it is at equal distance from previous prime (5118205397) and next prime (5118205403).

It is a self number, because there is not a number n which added to its sum of digits gives 5118205400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5118205403) 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, 33895325 + ... + 33895475.

It is an arithmetic number, because the mean of its divisors is an integer number (40711680).

Almost surely, 2^5118205400 is an apocalyptic number.

5118205400 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 5118205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816642560).

5118205400 is an abundant number, since it is smaller than the sum of its proper divisors (10515079720).

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

5118205400 is a wasteful number, since it uses less digits than its factorization.

5118205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 5118205400 is about 71541.6340322193. The cubic root of 5118205400 is about 1723.3463561760.

The spelling of 5118205400 in words is "five billion, one hundred eighteen million, two hundred five thousand, four hundred".