50871544200288 has 1152 divisors, whose sum is σ = 182800171008000. Its totient is φ = 13093435330560.

The previous prime is 50871544200241. The next prime is 50871544200293. The reversal of 50871544200288 is 88200244517805.

50871544200288 is a `hidden beast` number, since 5 + 0 + 8 + 7 + 154 + 4 + 200 + 288 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 21294073398 + ... + 21294075786.

It is an arithmetic number, because the mean of its divisors is an integer number (158680704000).

Almost surely, 2^{50871544200288} 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 50871544200288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400085504000).

50871544200288 is an abundant number, since it is smaller than the sum of its proper divisors (131928626807712).

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

50871544200288 is a wasteful number, since it uses less digits than its factorization.

50871544200288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 50871544200288 in words is "fifty trillion, eight hundred seventy-one billion, five hundred forty-four million, two hundred thousand, two hundred eighty-eight".