50165435384064 has 1728 divisors, whose sum is σ = 198221076039168. Its totient is φ = 11780436787200.

The previous prime is 50165435384011. The next prime is 50165435384087. The reversal of 50165435384064 is 46048353456105.

50165435384064 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 5 + 4 + 3 + 538 + 40 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 50165435384064.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41220570784 + ... + 41220572000.

It is an arithmetic number, because the mean of its divisors is an integer number (114711270856).

Almost surely, 2^{50165435384064} 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 50165435384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99110538019584).

50165435384064 is an abundant number, since it is smaller than the sum of its proper divisors (148055640655104).

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

50165435384064 is a wasteful number, since it uses less digits than its factorization.

50165435384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 50165435384064 in words is "fifty trillion, one hundred sixty-five billion, four hundred thirty-five million, three hundred eighty-four thousand, sixty-four".