50585440400 has 480 divisors, whose sum is σ = 146133504000. Its totient is φ = 16623360000.

The previous prime is 50585440357. The next prime is 50585440421. The reversal of 50585440400 is 404458505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339499526 + ... + 339499674.

It is an arithmetic number, because the mean of its divisors is an integer number (304444800).

Almost surely, 2^50585440400 is an apocalyptic number.

50585440400 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 50585440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73066752000).

50585440400 is an abundant number, since it is smaller than the sum of its proper divisors (95548063600).

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

50585440400 is a wasteful number, since it uses less digits than its factorization.

50585440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 50585440400 its reverse (404458505), we get a palindrome (50989898905).

The spelling of 50585440400 in words is "fifty billion, five hundred eighty-five million, four hundred forty thousand, four hundred".