50140726272000 has 5040 divisors, whose sum is σ = 238704752152152. Its totient is φ = 10434222489600.

The previous prime is 50140726271887. The next prime is 50140726272001. The reversal of 50140726272000 is 27262704105.

It is a happy number.

50140726272000 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 0 + 7 + 2 + 627 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 14579445436416 + 35561280835584 = 3818304^2 + 5963328^2 .

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50140726272001) 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 359 ways as a sum of consecutive naturals, for example, 686859263964 + ... + 686859264036.

Almost surely, 2^{50140726272000} is an apocalyptic number.

50140726272000 is a gapful number since it is divisible by the number (50) 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 50140726272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119352376076076).

50140726272000 is an abundant number, since it is smaller than the sum of its proper divisors (188564025880152).

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

50140726272000 is an equidigital number, since it uses as much as digits as its factorization.

50140726272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 50140726272000 its reverse (27262704105), we get a palindrome (50167988976105).

The spelling of 50140726272000 in words is "fifty trillion, one hundred forty billion, seven hundred twenty-six million, two hundred seventy-two thousand".