5143758400 has 189 divisors, whose sum is σ = 13997960193. Its totient is φ = 1858982400.

The previous prime is 5143758377. The next prime is 5143758407. The reversal of 5143758400 is 48573415.

The square root of 5143758400 is 71720.

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., 1851753024 + 3292005376 = 43032^2 + 57376^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5143758400.

It is not an unprimeable number, because it can be changed into a prime (5143758407) 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 26 ways as a sum of consecutive naturals, for example, 31556719 + ... + 31556881.

Almost surely, 2^5143758400 is an apocalyptic number.

5143758400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5143758400 is the 71720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5143758400

5143758400 is an abundant number, since it is smaller than the sum of its proper divisors (8854201793).

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

5143758400 is a wasteful number, since it uses less digits than its factorization.

5143758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The cubic root of 5143758400 is about 1726.2095724278.

The spelling of 5143758400 in words is "five billion, one hundred forty-three million, seven hundred fifty-eight thousand, four hundred".