50105900160 has 768 divisors, whose sum is σ = 195322982400. Its totient is φ = 12227604480.

The previous prime is 50105900149. The next prime is 50105900197. The reversal of 50105900160 is 6100950105.

50105900160 is a `hidden beast` number, since 5 + 0 + 10 + 590 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91601007 + ... + 91601553.

It is an arithmetic number, because the mean of its divisors is an integer number (254326800).

Almost surely, 2^50105900160 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 50105900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97661491200).

50105900160 is an abundant number, since it is smaller than the sum of its proper divisors (145217082240).

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

50105900160 is a wasteful number, since it uses less digits than its factorization.

50105900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 50105900160 in words is "fifty billion, one hundred five million, nine hundred thousand, one hundred sixty".