50649589944576 has 288 divisors, whose sum is σ = 171222487941120. Its totient is φ = 14467453618176.

The previous prime is 50649589944563. The next prime is 50649589944601. The reversal of 50649589944576 is 67544998594605.

50649589944576 is a `hidden beast` number, since 5 + 0 + 6 + 4 + 95 + 89 + 9 + 445 + 7 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 50649589944495 and 50649589944504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183866721 + ... + 184141983.

Almost surely, 2^{50649589944576} is an apocalyptic number.

50649589944576 is a gapful number since it is divisible by the number (56) 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 50649589944576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85611243970560).

50649589944576 is an abundant number, since it is smaller than the sum of its proper divisors (120572897996544).

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

50649589944576 is a wasteful number, since it uses less digits than its factorization.

50649589944576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279098 (or 279078 counting only the distinct ones).

The product of its (nonzero) digits is 11757312000, while the sum is 81.

The spelling of 50649589944576 in words is "fifty trillion, six hundred forty-nine billion, five hundred eighty-nine million, nine hundred forty-four thousand, five hundred seventy-six".