47870113200 has 960 divisors, whose sum is σ = 198387302400. Its totient is φ = 9596620800.

The previous prime is 47870113183. The next prime is 47870113201. The reversal of 47870113200 is 231107874.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47870113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267430711 + ... + 267430889.

It is an arithmetic number, because the mean of its divisors is an integer number (206653440).

Almost surely, 2^47870113200 is an apocalyptic number.

47870113200 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 47870113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99193651200).

47870113200 is an abundant number, since it is smaller than the sum of its proper divisors (150517189200).

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

47870113200 is a wasteful number, since it uses less digits than its factorization.

47870113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 47870113200 in words is "forty-seven billion, eight hundred seventy million, one hundred thirteen thousand, two hundred".