50645349824160 has 1920 divisors, whose sum is σ = 207036668805120. Its totient is φ = 10338199216128.

The previous prime is 50645349824149. The next prime is 50645349824197. The reversal of 50645349824160 is 6142894354605.

It is a happy number.

50645349824160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 50645349824160.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 81818012331 + ... + 81818012949.

It is an arithmetic number, because the mean of its divisors is an integer number (107831598336).

Almost surely, 2^{50645349824160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50645349824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103518334402560).

50645349824160 is an abundant number, since it is smaller than the sum of its proper divisors (156391318980960).

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

50645349824160 is a wasteful number, since it uses less digits than its factorization.

50645349824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 50645349824160 in words is "fifty trillion, six hundred forty-five billion, three hundred forty-nine million, eight hundred twenty-four thousand, one hundred sixty".