47216358505800 has 288 divisors, whose sum is σ = 173130125837760. Its totient is φ = 11436692160000.

The previous prime is 47216358505747. The next prime is 47216358505801. The reversal of 47216358505800 is 850585361274.

47216358505800 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 6 + 3 + 5 + 8 + 50 + 580 + 0 = 666.

47216358505800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47216358505801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22374205 + ... + 24393395.

It is an arithmetic number, because the mean of its divisors is an integer number (601146270270).

Almost surely, 2^{47216358505800} is an apocalyptic number.

47216358505800 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 47216358505800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86565062918880).

47216358505800 is an abundant number, since it is smaller than the sum of its proper divisors (125913767331960).

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

47216358505800 is a wasteful number, since it uses less digits than its factorization.

47216358505800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020405 (or 2020393 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 47216358505800 in words is "forty-seven trillion, two hundred sixteen billion, three hundred fifty-eight million, five hundred five thousand, eight hundred".