50625044800 has 504 divisors, whose sum is σ = 144770734080. Its totient is φ = 17385984000.

The previous prime is 50625044797. The next prime is 50625044801. The reversal of 50625044800 is 844052605.

It is a super-2 number, since 2×50625044800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50625044801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398622337 + ... + 398622463.

It is an arithmetic number, because the mean of its divisors is an integer number (287243520).

Almost surely, 2^50625044800 is an apocalyptic number.

50625044800 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 50625044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72385367040).

50625044800 is an abundant number, since it is smaller than the sum of its proper divisors (94145689280).

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

50625044800 is a wasteful number, since it uses less digits than its factorization.

50625044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 50625044800 in words is "fifty billion, six hundred twenty-five million, forty-four thousand, eight hundred".