50756945993600 has 384 divisors, whose sum is σ = 156744187015680. Its totient is φ = 15777904435200.

The previous prime is 50756945993561. The next prime is 50756945993659. The reversal of 50756945993600 is 639954965705.

It is a happy number.

50756945993600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 91631069 + ... + 92183331.

It is an arithmetic number, because the mean of its divisors is an integer number (408187987020).

Almost surely, 2^{50756945993600} is an apocalyptic number.

50756945993600 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 50756945993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78372093507840).

50756945993600 is an abundant number, since it is smaller than the sum of its proper divisors (105987241022080).

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

50756945993600 is a wasteful number, since it uses less digits than its factorization.

50756945993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552678 (or 552661 counting only the distinct ones).

The product of its (nonzero) digits is 275562000, while the sum is 68.

The spelling of 50756945993600 in words is "fifty trillion, seven hundred fifty-six billion, nine hundred forty-five million, nine hundred ninety-three thousand, six hundred".