50446813200 has 720 divisors, whose sum is σ = 201298901760. Its totient is φ = 10729635840.

The previous prime is 50446813163. The next prime is 50446813201. The reversal of 50446813200 is 231864405.

50446813200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (50446813201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108956169 + ... + 108956631.

It is an arithmetic number, because the mean of its divisors is an integer number (279581808).

Almost surely, 2^50446813200 is an apocalyptic number.

50446813200 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 50446813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100649450880).

50446813200 is an abundant number, since it is smaller than the sum of its proper divisors (150852088560).

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

50446813200 is a wasteful number, since it uses less digits than its factorization.

50446813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 50446813200 in words is "fifty billion, four hundred forty-six million, eight hundred thirteen thousand, two hundred".