5271091200 has 720 divisors, whose sum is σ = 20644303680. Its totient is φ = 1327104000.

The previous prime is 5271091193. The next prime is 5271091237. The reversal of 5271091200 is 21901725.

5271091200 is a `hidden beast` number, since 527 + 10 + 9 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 128563180 + ... + 128563220.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 2^5271091200 is an apocalyptic number.

5271091200 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 5271091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322151840).

5271091200 is an abundant number, since it is smaller than the sum of its proper divisors (15373212480).

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

5271091200 is a wasteful number, since it uses less digits than its factorization.

5271091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 5271091200 is about 72602.2809559039. The cubic root of 5271091200 is about 1740.3376277052.

Adding to 5271091200 its reverse (21901725), we get a palindrome (5292992925).

The spelling of 5271091200 in words is "five billion, two hundred seventy-one million, ninety-one thousand, two hundred".