5400727200 has 864 divisors, whose sum is σ = 22691672640. Its totient is φ = 1194393600.

The previous prime is 5400727193. The next prime is 5400727273. The reversal of 5400727200 is 27270045.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 55677552 + ... + 55677648.

It is an arithmetic number, because the mean of its divisors is an integer number (26263510).

Almost surely, 2^5400727200 is an apocalyptic number.

5400727200 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 5400727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11345836320).

5400727200 is an abundant number, since it is smaller than the sum of its proper divisors (17290945440).

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

5400727200 is a wasteful number, since it uses less digits than its factorization.

5400727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 5400727200 is about 73489.6400862053. The cubic root of 5400727200 is about 1754.4893929372.

Adding to 5400727200 its reverse (27270045), we get a palindrome (5427997245).

The spelling of 5400727200 in words is "five billion, four hundred million, seven hundred twenty-seven thousand, two hundred".