47212533688320 has 3456 divisors, whose sum is σ = 225950082059520. Its totient is φ = 8961738670080.

The previous prime is 47212533688273. The next prime is 47212533688321. The reversal of 47212533688320 is 2388633521274.

47212533688320 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 2 + 533 + 6 + 8 + 83 + 20 = 666.

It is a super-3 number, since 3×47212533688320³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47212533688321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72971458237 + ... + 72971458883.

It is an arithmetic number, because the mean of its divisors is an integer number (65379074670).

Almost surely, 2^{47212533688320} is an apocalyptic number.

47212533688320 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 47212533688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112975041029760).

47212533688320 is an abundant number, since it is smaller than the sum of its proper divisors (178737548371200).

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

47212533688320 is a wasteful number, since it uses less digits than its factorization.

47212533688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 47212533688320 in words is "forty-seven trillion, two hundred twelve billion, five hundred thirty-three million, six hundred eighty-eight thousand, three hundred twenty".