47563506244800 has 2016 divisors, whose sum is σ = 216229187446272. Its totient is φ = 10014034821120.

The previous prime is 47563506244783. The next prime is 47563506244801. The reversal of 47563506244800 is 844260536574.

47563506244800 is a `hidden beast` number, since 4 + 7 + 5 + 6 + 3 + 5 + 0 + 624 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47563506244801) 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, 20980813267 + ... + 20980815533.

It is an arithmetic number, because the mean of its divisors is an integer number (107256541392).

Almost surely, 2^{47563506244800} is an apocalyptic number.

47563506244800 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 47563506244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108114593723136).

47563506244800 is an abundant number, since it is smaller than the sum of its proper divisors (168665681201472).

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

47563506244800 is a wasteful number, since it uses less digits than its factorization.

47563506244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 47563506244800 in words is "forty-seven trillion, five hundred sixty-three billion, five hundred six million, two hundred forty-four thousand, eight hundred".