50365874257920 has 720 divisors, whose sum is σ = 199087906464720. Its totient is φ = 11668436287488.

The previous prime is 50365874257877. The next prime is 50365874257931. The reversal of 50365874257920 is 2975247856305.

50365874257920 is a `hidden beast` number, since 5 + 0 + 3 + 6 + 58 + 7 + 4 + 2 + 579 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4101499846656 + 46264374411264 = 2025216^2 + 6801792^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162784326 + ... + 163093434.

It is an arithmetic number, because the mean of its divisors is an integer number (276510981201).

Almost surely, 2^{50365874257920} 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 50365874257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99543953232360).

50365874257920 is an abundant number, since it is smaller than the sum of its proper divisors (148722032206800).

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

50365874257920 is a wasteful number, since it uses less digits than its factorization.

50365874257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309178 (or 309149 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 50365874257920 in words is "fifty trillion, three hundred sixty-five billion, eight hundred seventy-four million, two hundred fifty-seven thousand, nine hundred twenty".