50289953632128 has 896 divisors, whose sum is σ = 180144965260800. Its totient is φ = 13666326220800.

The previous prime is 50289953632117. The next prime is 50289953632229. The reversal of 50289953632128 is 82123635998205.

50289953632128 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 99 + 536 + 3 + 2 + 1 + 2 + 8 = 666.

50289953632128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 111 ways as a sum of consecutive naturals, for example, 2689149178 + ... + 2689167878.

Almost surely, 2^{50289953632128} 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 50289953632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90072482630400).

50289953632128 is an abundant number, since it is smaller than the sum of its proper divisors (129855011628672).

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

50289953632128 is a wasteful number, since it uses less digits than its factorization.

50289953632128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18942 (or 18915 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 50289953632128 in words is "fifty trillion, two hundred eighty-nine billion, nine hundred fifty-three million, six hundred thirty-two thousand, one hundred twenty-eight".