50442649205760 has 1408 divisors, whose sum is σ = 216977923031040. Its totient is φ = 10863530016768.

The previous prime is 50442649205719. The next prime is 50442649205789. The reversal of 50442649205760 is 6750294624405.

50442649205760 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 2 + 6 + 49 + 20 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 50442649205697 and 50442649205706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1491177967 + ... + 1491211793.

Almost surely, 2^{50442649205760} 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 50442649205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108488961515520).

50442649205760 is an abundant number, since it is smaller than the sum of its proper divisors (166535273825280).

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

50442649205760 is a wasteful number, since it uses less digits than its factorization.

50442649205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33958 (or 33934 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 50442649205760 in words is "fifty trillion, four hundred forty-two billion, six hundred forty-nine million, two hundred five thousand, seven hundred sixty".