47533960180728 has 192 divisors, whose sum is σ = 148238232979200. Its totient is φ = 13478800826880.

The previous prime is 47533960180691. The next prime is 47533960180783. The reversal of 47533960180728 is 82708106933574.

47533960180728 is a `hidden beast` number, since 4 + 7 + 533 + 9 + 60 + 18 + 0 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206760483 + ... + 206990253.

It is an arithmetic number, because the mean of its divisors is an integer number (772074130100).

It is a 1-persistent number, because it is pandigital, but 2⋅47533960180728 = 95067920361456 is not.

Almost surely, 2^{47533960180728} 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 47533960180728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74119116489600).

47533960180728 is an abundant number, since it is smaller than the sum of its proper divisors (100704272798472).

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

47533960180728 is a wasteful number, since it uses less digits than its factorization.

47533960180728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232882 (or 232875 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 47533960180728 in words is "forty-seven trillion, five hundred thirty-three billion, nine hundred sixty million, one hundred eighty thousand, seven hundred twenty-eight".