47271831552 has 768 divisors, whose sum is σ = 166053888000. Its totient is φ = 13138329600.

The previous prime is 47271831539. The next prime is 47271831571. The reversal of 47271831552 is 25513817274.

47271831552 is a `hidden beast` number, since 47 + 27 + 1 + 8 + 31 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 47271831498 and 47271831507.

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 63 ways as a sum of consecutive naturals, for example, 433686474 + ... + 433686582.

It is an arithmetic number, because the mean of its divisors is an integer number (216216000).

Almost surely, 2^47271831552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47271831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026944000).

47271831552 is an abundant number, since it is smaller than the sum of its proper divisors (118782056448).

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

47271831552 is a wasteful number, since it uses less digits than its factorization.

47271831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 47271831552 in words is "forty-seven billion, two hundred seventy-one million, eight hundred thirty-one thousand, five hundred fifty-two".