47179683523200 has 768 divisors, whose sum is σ = 160362271872000. Its totient is φ = 12184778833920.

The previous prime is 47179683523187. The next prime is 47179683523207. The reversal of 47179683523200 is 232538697174.

It is not an unprimeable number, because it can be changed into a prime (47179683523207) 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 95 ways as a sum of consecutive naturals, for example, 28997960787 + ... + 28997962413.

It is an arithmetic number, because the mean of its divisors is an integer number (208805041500).

It is a 1-persistent number, because it is pandigital, but 2⋅47179683523200 = 94359367046400 is not.

Almost surely, 2^{47179683523200} is an apocalyptic number.

47179683523200 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 47179683523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80181135936000).

47179683523200 is an abundant number, since it is smaller than the sum of its proper divisors (113182588348800).

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

47179683523200 is a wasteful number, since it uses less digits than its factorization.

47179683523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 47179683523200 in words is "forty-seven trillion, one hundred seventy-nine billion, six hundred eighty-three million, five hundred twenty-three thousand, two hundred".