50527983762432 has 1760 divisors, whose sum is σ = 174008954972160. Its totient is φ = 14469587435520.

The previous prime is 50527983762407. The next prime is 50527983762433. The reversal of 50527983762432 is 23426738972505.

50527983762432 is a `hidden beast` number, since 5 + 0 + 5 + 27 + 98 + 37 + 62 + 432 = 666.

50527983762432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×50527983762432² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 50527983762432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50527983762433) 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 159 ways as a sum of consecutive naturals, for example, 192121611133 + ... + 192121611395.

It is an arithmetic number, because the mean of its divisors is an integer number (98868724416).

Almost surely, 2^{50527983762432} 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 50527983762432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87004477486080).

50527983762432 is an abundant number, since it is smaller than the sum of its proper divisors (123480971209728).

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

50527983762432 is a wasteful number, since it uses less digits than its factorization.

50527983762432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 50527983762432 in words is "fifty trillion, five hundred twenty-seven billion, nine hundred eighty-three million, seven hundred sixty-two thousand, four hundred thirty-two".