5271986304 has 256 divisors, whose sum is σ = 16857254400. Its totient is φ = 1612431360.

The previous prime is 5271986273. The next prime is 5271986339. The reversal of 5271986304 is 4036891725.

5271986304 is a `hidden beast` number, since 5 + 2 + 7 + 1 + 9 + 8 + 630 + 4 = 666.

5271986304 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5271986304 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 5271986304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12175272 + ... + 12175704.

It is an arithmetic number, because the mean of its divisors is an integer number (65848650).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5271986304 = 10543972608, but 3⋅5271986304 = 15815958912 is not.

Almost surely, 2^5271986304 is an apocalyptic number.

5271986304 is a gapful number since it is divisible by the number (54) 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 5271986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8428627200).

5271986304 is an abundant number, since it is smaller than the sum of its proper divisors (11585268096).

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

5271986304 is a wasteful number, since it uses less digits than its factorization.

5271986304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5271986304 is about 72608.4451286488. The cubic root of 5271986304 is about 1740.4361332419.

The spelling of 5271986304 in words is "five billion, two hundred seventy-one million, nine hundred eighty-six thousand, three hundred four".