50205536640 has 640 divisors, whose sum is σ = 211563601920. Its totient is φ = 11102883840.

The previous prime is 50205536639. The next prime is 50205536651. The reversal of 50205536640 is 4663550205.

It is a happy number.

50205536640 is a `hidden beast` number, since 5 + 0 + 2 + 0 + 5 + 5 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50205536595 and 50205536604.

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 79 ways as a sum of consecutive naturals, for example, 11247049 + ... + 11251511.

It is an arithmetic number, because the mean of its divisors is an integer number (330568128).

Almost surely, 2^50205536640 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 50205536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105781800960).

50205536640 is an abundant number, since it is smaller than the sum of its proper divisors (161358065280).

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

50205536640 is a wasteful number, since it uses less digits than its factorization.

50205536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 50205536640 in words is "fifty billion, two hundred five million, five hundred thirty-six thousand, six hundred forty".