50426746264800 has 216 divisors, whose sum is σ = 177890222109600. Its totient is φ = 13441618790400.

The previous prime is 50426746264781. The next prime is 50426746264837. The reversal of 50426746264800 is 846264762405.

It is a happy number.

50426746264800 is a `hidden beast` number, since 5 + 0 + 4 + 2 + 6 + 7 + 4 + 626 + 4 + 8 + 0 + 0 = 666.

50426746264800 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 35 ways as a sum of consecutive naturals, for example, 16140601 + ... + 19009799.

It is an arithmetic number, because the mean of its divisors is an integer number (823565843100).

Almost surely, 2^{50426746264800} is an apocalyptic number.

50426746264800 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 50426746264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88945111054800).

50426746264800 is an abundant number, since it is smaller than the sum of its proper divisors (127463475844800).

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

50426746264800 is a wasteful number, since it uses less digits than its factorization.

50426746264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871666 (or 2871650 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 50426746264800 in words is "fifty trillion, four hundred twenty-six billion, seven hundred forty-six million, two hundred sixty-four thousand, eight hundred".