50053852800 has 960 divisors, whose sum is σ = 215787528000. Its totient is φ = 11420559360.

The previous prime is 50053852789. The next prime is 50053852843. The reversal of 50053852800 is 825835005.

50053852800 is a `hidden beast` number, since 500 + 53 + 85 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 88905319 + ... + 88905881.

It is an arithmetic number, because the mean of its divisors is an integer number (224778675).

Almost surely, 2^50053852800 is an apocalyptic number.

50053852800 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 50053852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107893764000).

50053852800 is an abundant number, since it is smaller than the sum of its proper divisors (165733675200).

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

50053852800 is an equidigital number, since it uses as much as digits as its factorization.

50053852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 50053852800 in words is "fifty billion, fifty-three million, eight hundred fifty-two thousand, eight hundred".