47957516845056 has 1152 divisors, whose sum is σ = 173274642758880. Its totient is φ = 12513705984000.

The previous prime is 47957516845019. The next prime is 47957516845109. The reversal of 47957516845056 is 65054861575974.

47957516845056 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 7 + 5 + 168 + 450 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35236969816 + ... + 35236971176.

Almost surely, 2^{47957516845056} 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 47957516845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86637321379440).

47957516845056 is an abundant number, since it is smaller than the sum of its proper divisors (125317125913824).

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

47957516845056 is a wasteful number, since it uses less digits than its factorization.

47957516845056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 72.

The spelling of 47957516845056 in words is "forty-seven trillion, nine hundred fifty-seven billion, five hundred sixteen million, eight hundred forty-five thousand, fifty-six".