5118422400 has 1440 divisors, whose sum is σ = 24425311680. Its totient is φ = 1045094400.

The previous prime is 5118422383. The next prime is 5118422401. The reversal of 5118422400 is 42248115.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (5118422401) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 165110385 + ... + 165110415.

It is an arithmetic number, because the mean of its divisors is an integer number (16962022).

Almost surely, 2^5118422400 is an apocalyptic number.

5118422400 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 5118422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212655840).

5118422400 is an abundant number, since it is smaller than the sum of its proper divisors (19306889280).

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

5118422400 is a wasteful number, since it uses less digits than its factorization.

5118422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5118422400 is about 71543.1506155551. The cubic root of 5118422400 is about 1723.3707111237.

The spelling of 5118422400 in words is "five billion, one hundred eighteen million, four hundred twenty-two thousand, four hundred".