47568825580032 has 320 divisors, whose sum is σ = 143521367616000. Its totient is φ = 15550854119424.

The previous prime is 47568825580019. The next prime is 47568825580049. The reversal of 47568825580032 is 23008552886574.

47568825580032 is a `hidden beast` number, since 4 + 75 + 6 + 8 + 8 + 2 + 558 + 0 + 0 + 3 + 2 = 666.

47568825580032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2043410569 + ... + 2043433847.

It is an arithmetic number, because the mean of its divisors is an integer number (448504273800).

Almost surely, 2^{47568825580032} 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 47568825580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71760683808000).

47568825580032 is an abundant number, since it is smaller than the sum of its proper divisors (95952542035968).

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

47568825580032 is a wasteful number, since it uses less digits than its factorization.

47568825580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26148 (or 26126 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 47568825580032 in words is "forty-seven trillion, five hundred sixty-eight billion, eight hundred twenty-five million, five hundred eighty thousand, thirty-two".