50413708800 has 1440 divisors, whose sum is σ = 232824160800. Its totient is φ = 10590289920.

The previous prime is 50413708781. The next prime is 50413708847. The reversal of 50413708800 is 880731405.

50413708800 is a `hidden beast` number, since 504 + 1 + 3 + 70 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220147086 + ... + 220147314.

It is an arithmetic number, because the mean of its divisors is an integer number (161683445).

Almost surely, 2^50413708800 is an apocalyptic number.

50413708800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50413708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116412080400).

50413708800 is an abundant number, since it is smaller than the sum of its proper divisors (182410452000).

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

50413708800 is a wasteful number, since it uses less digits than its factorization.

50413708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 50413708800 in words is "fifty billion, four hundred thirteen million, seven hundred eight thousand, eight hundred".