50071649584320 has 2688 divisors, whose sum is σ = 229484963635200. Its totient is φ = 10176432537600.

The previous prime is 50071649584309. The next prime is 50071649584367. The reversal of 50071649584320 is 2348594617005.

It is a happy number.

50071649584320 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 16 + 49 + 584 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45895186975 + ... + 45895188065.

It is an arithmetic number, because the mean of its divisors is an integer number (85373870400).

It is a 1-persistent number, because it is pandigital, but 2⋅50071649584320 = 100143299168640 is not.

Almost surely, 2^{50071649584320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50071649584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114742481817600).

50071649584320 is an abundant number, since it is smaller than the sum of its proper divisors (179413314050880).

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

50071649584320 is a wasteful number, since it uses less digits than its factorization.

50071649584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

It can be divided in two parts, 500716 and 49584320, that added together give a triangular number (50085036 = T₁₀₀₀₈).

The spelling of 50071649584320 in words is "fifty trillion, seventy-one billion, six hundred forty-nine million, five hundred eighty-four thousand, three hundred twenty".