50627878376400 has 720 divisors, whose sum is σ = 194823484717680. Its totient is φ = 12094097817600.

The previous prime is 50627878376239. The next prime is 50627878376401. The reversal of 50627878376400 is 467387872605.

50627878376400 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 7 + 87 + 83 + 76 + 400 = 666.

50627878376400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 40810785742224 + 9817092634176 = 6388332^2 + 3133224^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50627878376401) 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 143 ways as a sum of consecutive naturals, for example, 673554820 + ... + 673629980.

It is an arithmetic number, because the mean of its divisors is an integer number (270588173219).

Almost surely, 2^{50627878376400} is an apocalyptic number.

50627878376400 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 50627878376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97411742358840).

50627878376400 is an abundant number, since it is smaller than the sum of its proper divisors (144195606341280).

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

50627878376400 is a wasteful number, since it uses less digits than its factorization.

50627878376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75624 (or 75610 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 50627878376400 in words is "fifty trillion, six hundred twenty-seven billion, eight hundred seventy-eight million, three hundred seventy-six thousand, four hundred".