49959304884000 has 288 divisors, whose sum is σ = 177653979200880. Its totient is φ = 13296302592000.

The previous prime is 49959304883993. The next prime is 49959304884001. The reversal of 49959304884000 is 48840395994.

49959304884000 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 8 ways, for example, as 12688670736 + 49946616213264 = 112644^2 + 7067292^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (49959304884001) 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 47 ways as a sum of consecutive naturals, for example, 16960780 + ... + 19687220.

Almost surely, 2^{49959304884000} is an apocalyptic number.

49959304884000 is a gapful number since it is divisible by the number (40) 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 49959304884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88826989600440).

49959304884000 is an abundant number, since it is smaller than the sum of its proper divisors (127694674316880).

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

49959304884000 is a wasteful number, since it uses less digits than its factorization.

49959304884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726981 (or 2726960 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 49959304884000 in words is "forty-nine trillion, nine hundred fifty-nine billion, three hundred four million, eight hundred eighty-four thousand".