50105386800 has 540 divisors, whose sum is σ = 205435891440. Its totient is φ = 11077862400.

The previous prime is 50105386789. The next prime is 50105386813. The reversal of 50105386800 is 868350105.

50105386800 is a `hidden beast` number, since 50 + 10 + 538 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×50105386800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 24216166 + ... + 24218234.

It is an arithmetic number, because the mean of its divisors is an integer number (380436836).

Almost surely, 2^50105386800 is an apocalyptic number.

50105386800 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 50105386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102717945720).

50105386800 is an abundant number, since it is smaller than the sum of its proper divisors (155330504640).

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

50105386800 is a wasteful number, since it uses less digits than its factorization.

50105386800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 50105386800 in words is "fifty billion, one hundred five million, three hundred eighty-six thousand, eight hundred".