47884152960 has 384 divisors, whose sum is σ = 200090217600. Its totient is φ = 10300981248.

The previous prime is 47884152947. The next prime is 47884152961. The reversal of 47884152960 is 6925148874.

It is a happy number.

47884152960 is a `hidden beast` number, since 4 + 78 + 8 + 41 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 47884152897 and 47884152906.

It is not an unprimeable number, because it can be changed into a prime (47884152961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650511 + ... + 720369.

It is an arithmetic number, because the mean of its divisors is an integer number (521068275).

Almost surely, 2^47884152960 is an apocalyptic number.

47884152960 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 47884152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100045108800).

47884152960 is an abundant number, since it is smaller than the sum of its proper divisors (152206064640).

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

47884152960 is a wasteful number, since it uses less digits than its factorization.

47884152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69908 (or 69893 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 47884152960 in words is "forty-seven billion, eight hundred eighty-four million, one hundred fifty-two thousand, nine hundred sixty".