47712879171360 has 1152 divisors, whose sum is σ = 185515403673600. Its totient is φ = 11085886955520.

The previous prime is 47712879171341. The next prime is 47712879171361. The reversal of 47712879171360 is 6317197821774.

It is a happy number.

47712879171360 is a `hidden beast` number, since 4 + 77 + 128 + 79 + 17 + 1 + 360 = 666.

It is not an unprimeable number, because it can be changed into a prime (47712879171361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3805151971 + ... + 3805164509.

It is an arithmetic number, because the mean of its divisors is an integer number (161037676800).

Almost surely, 2^{47712879171360} is an apocalyptic number.

47712879171360 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 47712879171360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92757701836800).

47712879171360 is an abundant number, since it is smaller than the sum of its proper divisors (137802524502240).

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

47712879171360 is a wasteful number, since it uses less digits than its factorization.

47712879171360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12766 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 47712879171360 in words is "forty-seven trillion, seven hundred twelve billion, eight hundred seventy-nine million, one hundred seventy-one thousand, three hundred sixty".