50333357600064 has 1344 divisors, whose sum is σ = 188713838057472. Its totient is φ = 13029226721280.

The previous prime is 50333357600059. The next prime is 50333357600081. The reversal of 50333357600064 is 46000675333305.

50333357600064 is a `hidden beast` number, since 5 + 0 + 3 + 3 + 3 + 35 + 7 + 600 + 0 + 6 + 4 = 666.

50333357600064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 50333357599992 and 50333357600019.

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 191 ways as a sum of consecutive naturals, for example, 81577564684 + ... + 81577565300.

It is an arithmetic number, because the mean of its divisors is an integer number (140412081888).

Almost surely, 2^{50333357600064} is an apocalyptic number.

50333357600064 is a gapful number since it is divisible by the number (54) 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 50333357600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94356919028736).

50333357600064 is an abundant number, since it is smaller than the sum of its proper divisors (138380480457408).

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

50333357600064 is an equidigital number, since it uses as much as digits as its factorization.

50333357600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 45.

The spelling of 50333357600064 in words is "fifty trillion, three hundred thirty-three billion, three hundred fifty-seven million, six hundred thousand, sixty-four".