47711828728512 has 672 divisors, whose sum is σ = 158904792883200. Its totient is φ = 13562321412096.

The previous prime is 47711828728507. The next prime is 47711828728583. The reversal of 47711828728512 is 21582782811774.

47711828728512 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 18 + 2 + 87 + 28 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47711828728512.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1852226289 + ... + 1852252047.

It is an arithmetic number, because the mean of its divisors is an integer number (236465465600).

Almost surely, 2^{47711828728512} 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 47711828728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79452396441600).

47711828728512 is an abundant number, since it is smaller than the sum of its proper divisors (111192964154688).

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

47711828728512 is a wasteful number, since it uses less digits than its factorization.

47711828728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26133 (or 26120 counting only the distinct ones).

The product of its digits is 28098560, while the sum is 63.

The spelling of 47711828728512 in words is "forty-seven trillion, seven hundred eleven billion, eight hundred twenty-eight million, seven hundred twenty-eight thousand, five hundred twelve".