50958313120 has 576 divisors, whose sum is σ = 153001820160. Its totient is φ = 15850598400.

The previous prime is 50958313117. The next prime is 50958313129. The reversal of 50958313120 is 2131385905.

It is a happy number.

50958313120 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 50958313120.

It is not an unprimeable number, because it can be changed into a prime (50958313129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401246497 + ... + 401246623.

It is an arithmetic number, because the mean of its divisors is an integer number (265628160).

Almost surely, 2^50958313120 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 50958313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76500910080).

50958313120 is an abundant number, since it is smaller than the sum of its proper divisors (102043507040).

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

50958313120 is a wasteful number, since it uses less digits than its factorization.

50958313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 50958313120 in words is "fifty billion, nine hundred fifty-eight million, three hundred thirteen thousand, one hundred twenty".