5138022400 has 207 divisors, whose sum is σ = 14822668569. Its totient is φ = 1761607680.

The previous prime is 5138022377. The next prime is 5138022401. The reversal of 5138022400 is 42208315.

The square root of 5138022400 is 71680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1849688064 + 3288334336 = 43008^2 + 57344^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5138022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 734003197 + ... + 734003203.

Almost surely, 2^5138022400 is an apocalyptic number.

5138022400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5138022400 is the 71680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5138022400

5138022400 is an abundant number, since it is smaller than the sum of its proper divisors (9684646169).

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

5138022400 is an frugal number, since it uses more digits than its factorization.

5138022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 5138022400 is about 1725.5676798565.

Multiplying 5138022400 by its sum of digits (25), we get a square (128450560000 = 358400²).

5138022400 divided by its sum of digits (25) gives a square (205520896 = 14336²).

The spelling of 5138022400 in words is "five billion, one hundred thirty-eight million, twenty-two thousand, four hundred".