50052563071728 has 640 divisors, whose sum is σ = 160056519727104. Its totient is φ = 13153900953600.

The previous prime is 50052563071723. The next prime is 50052563071733. The reversal of 50052563071728 is 82717036525005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50052563071723) and next prime (50052563071733).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50052563071723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45877692463 + ... + 45877693553.

Almost surely, 2^{50052563071728} 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 50052563071728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80028259863552).

50052563071728 is an abundant number, since it is smaller than the sum of its proper divisors (110003956655376).

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

50052563071728 is a wasteful number, since it uses less digits than its factorization.

50052563071728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 50052563071728 in words is "fifty trillion, fifty-two billion, five hundred sixty-three million, seventy-one thousand, seven hundred twenty-eight".