47236421635200 has 4608 divisors, whose sum is σ = 218353635187200. Its totient is φ = 10042939146240.

The previous prime is 47236421635181. The next prime is 47236421635217. The reversal of 47236421635200 is 253612463274.

47236421635200 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 6 + 4 + 2 + 1 + 635 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 418021430344 + ... + 418021430456.

It is an arithmetic number, because the mean of its divisors is an integer number (47385771525).

Almost surely, 2^{47236421635200} is an apocalyptic number.

47236421635200 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 47236421635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109176817593600).

47236421635200 is an abundant number, since it is smaller than the sum of its proper divisors (171117213552000).

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

47236421635200 is a wasteful number, since it uses less digits than its factorization.

47236421635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 47236421635200 in words is "forty-seven trillion, two hundred thirty-six billion, four hundred twenty-one million, six hundred thirty-five thousand, two hundred".