50427078168000 has 448 divisors, whose sum is σ = 167996658525696. Its totient is φ = 13327441920000.

The previous prime is 50427078167987. The next prime is 50427078168001. The reversal of 50427078168000 is 86187072405.

50427078168000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50427078168001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2549774112 + ... + 2549793888.

It is an arithmetic number, because the mean of its divisors is an integer number (374992541352).

Almost surely, 2^{50427078168000} is an apocalyptic number.

50427078168000 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 50427078168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83998329262848).

50427078168000 is an abundant number, since it is smaller than the sum of its proper divisors (117569580357696).

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

50427078168000 is a wasteful number, since it uses less digits than its factorization.

50427078168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20749 (or 20729 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 50427078168000 in words is "fifty trillion, four hundred twenty-seven billion, seventy-eight million, one hundred sixty-eight thousand".