50306940766800 has 480 divisors, whose sum is σ = 181956062280960. Its totient is φ = 13364114780160.

The previous prime is 50306940766799. The next prime is 50306940766937. The reversal of 50306940766800 is 866704960305.

50306940766800 is a `hidden beast` number, since 503 + 0 + 6 + 9 + 4 + 0 + 76 + 68 + 0 + 0 = 666.

50306940766800 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 (54).

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 95 ways as a sum of consecutive naturals, for example, 229963072 + ... + 230181728.

It is an arithmetic number, because the mean of its divisors is an integer number (379075129752).

Almost surely, 2^{50306940766800} is an apocalyptic number.

50306940766800 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 50306940766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90978031140480).

50306940766800 is an abundant number, since it is smaller than the sum of its proper divisors (131649121514160).

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

50306940766800 is a wasteful number, since it uses less digits than its factorization.

50306940766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218959 (or 218930 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 50306940766800 in words is "fifty trillion, three hundred six billion, nine hundred forty million, seven hundred sixty-six thousand, eight hundred".