50838888960 has 960 divisors, whose sum is σ = 198553006080. Its totient is φ = 11961630720.

The previous prime is 50838888917. The next prime is 50838888967. The reversal of 50838888960 is 6988883805.

50838888960 is a `hidden beast` number, since 508 + 38 + 8 + 8 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (50838888967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643530201 + ... + 643530279.

It is an arithmetic number, because the mean of its divisors is an integer number (206826048).

Almost surely, 2^50838888960 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 50838888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99276503040).

50838888960 is an abundant number, since it is smaller than the sum of its proper divisors (147714117120).

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

50838888960 is a wasteful number, since it uses less digits than its factorization.

50838888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 50838888960 in words is "fifty billion, eight hundred thirty-eight million, eight hundred eighty-eight thousand, nine hundred sixty".