47942570521728 has 192 divisors, whose sum is σ = 143081021603520. Its totient is φ = 15979554339840.

The previous prime is 47942570521693. The next prime is 47942570521733. The reversal of 47942570521728 is 82712507524974.

47942570521728 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 2 + 570 + 52 + 1 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428588301 + ... + 428700147.

It is an arithmetic number, because the mean of its divisors is an integer number (745213654185).

Almost surely, 2^{47942570521728} is an apocalyptic number.

47942570521728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47942570521728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71540510801760).

47942570521728 is an abundant number, since it is smaller than the sum of its proper divisors (95138451081792).

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

47942570521728 is a wasteful number, since it uses less digits than its factorization.

47942570521728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125657 (or 125633 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 47942570521728 in words is "forty-seven trillion, nine hundred forty-two billion, five hundred seventy million, five hundred twenty-one thousand, seven hundred twenty-eight".