47989964160 has 512 divisors, whose sum is σ = 177384038400. Its totient is φ = 12248064000.

The previous prime is 47989964147. The next prime is 47989964177. The reversal of 47989964160 is 6146998974.

47989964160 is a `hidden beast` number, since 47 + 98 + 9 + 96 + 416 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 54103237 + ... + 54104123.

It is an arithmetic number, because the mean of its divisors is an integer number (346453200).

Almost surely, 2^47989964160 is an apocalyptic number.

47989964160 is a gapful number since it is divisible by the number (40) 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 47989964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88692019200).

47989964160 is an abundant number, since it is smaller than the sum of its proper divisors (129394074240).

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

47989964160 is a wasteful number, since it uses less digits than its factorization.

47989964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 47989964160 in words is "forty-seven billion, nine hundred eighty-nine million, nine hundred sixty-four thousand, one hundred sixty".