47205360160 has 192 divisors, whose sum is σ = 138790713600. Its totient is φ = 14803955712.

The previous prime is 47205360151. The next prime is 47205360161. The reversal of 47205360160 is 6106350274.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47205360161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578874 + ... + 655366.

It is an arithmetic number, because the mean of its divisors is an integer number (722868300).

Almost surely, 2^47205360160 is an apocalyptic number.

47205360160 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 47205360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69395356800).

47205360160 is an abundant number, since it is smaller than the sum of its proper divisors (91585353440).

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

47205360160 is a wasteful number, since it uses less digits than its factorization.

47205360160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76563 (or 76555 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 47205360160 in words is "forty-seven billion, two hundred five million, three hundred sixty thousand, one hundred sixty".