47520705838221 has 648 divisors, whose sum is σ = 96780404454552. Its totient is φ = 22361231692800.

The previous prime is 47520705838181. The next prime is 47520705838247. The reversal of 47520705838221 is 12283850702574.

47520705838221 is a `hidden beast` number, since 4 + 7 + 5 + 207 + 0 + 58 + 382 + 2 + 1 = 666.

47520705838221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17421766775721 + 30098939062500 = 4173939^2 + 5486250^2 .

It is not a de Polignac number, because 47520705838221 - 2¹⁸ = 47520705576077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47520705838321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 43477314951 + ... + 43477316043.

Almost surely, 2^{47520705838221} is an apocalyptic number.

It is an amenable number.

47520705838221 is an abundant number, since it is smaller than the sum of its proper divisors (49259698616331).

47520705838221 is a wasteful number, since it uses less digits than its factorization.

47520705838221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 47520705838221 in words is "forty-seven trillion, five hundred twenty billion, seven hundred five million, eight hundred thirty-eight thousand, two hundred twenty-one".