47957583168 has 560 divisors, whose sum is σ = 167105429568. Its totient is φ = 13436928000.

The previous prime is 47957583131. The next prime is 47957583197. The reversal of 47957583168 is 86138575974.

47957583168 is a `hidden beast` number, since 47 + 9 + 5 + 7 + 583 + 1 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59133483 + ... + 59134293.

Almost surely, 2^47957583168 is an apocalyptic number.

47957583168 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 47957583168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83552714784).

47957583168 is an abundant number, since it is smaller than the sum of its proper divisors (119147846400).

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

47957583168 is a wasteful number, since it uses less digits than its factorization.

47957583168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 905 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 47957583168 in words is "forty-seven billion, nine hundred fifty-seven million, five hundred eighty-three thousand, one hundred sixty-eight".