47841312960 has 1792 divisors, whose sum is σ = 224722944000. Its totient is φ = 9316270080.

The previous prime is 47841312919. The next prime is 47841312971. The reversal of 47841312960 is 6921314874.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 605586201 + ... + 605586279.

Almost surely, 2^47841312960 is an apocalyptic number.

47841312960 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 47841312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112361472000).

47841312960 is an abundant number, since it is smaller than the sum of its proper divisors (176881631040).

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

47841312960 is a wasteful number, since it uses less digits than its factorization.

47841312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47841312960 in words is "forty-seven billion, eight hundred forty-one million, three hundred twelve thousand, nine hundred sixty".