47328002500 has 135 divisors (see below), whose sum is σ = 109709848017. Its totient is φ = 17856504000.

The previous prime is 47328002483. The next prime is 47328002507. The reversal of 47328002500 is 520082374.

The square root of 47328002500 is 217550.

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

It can be written as a sum of positive squares in 7 ways, for example, as 12883612036 + 34444390464 = 113506^2 + 185592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47328002507) 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 44 ways as a sum of consecutive naturals, for example, 206672386 + ... + 206672614.

Almost surely, 2^47328002500 is an apocalyptic number.

47328002500 is the 217550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47328002500

47328002500 is an abundant number, since it is smaller than the sum of its proper divisors (62381845517).

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

47328002500 is an equidigital number, since it uses as much as digits as its factorization.

47328002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 47328002500 its reverse (520082374), we get a palindrome (47848084874).

The spelling of 47328002500 in words is "forty-seven billion, three hundred twenty-eight million, two thousand, five hundred".