50822812800 has 384 divisors, whose sum is σ = 190547179200. Its totient is φ = 13221273600.

The previous prime is 50822812751. The next prime is 50822812811. The reversal of 50822812800 is 821822805.

It is a happy number.

50822812800 is a `hidden beast` number, since 508 + 2 + 28 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3535227 + ... + 3549573.

Almost surely, 2^50822812800 is an apocalyptic number.

50822812800 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 50822812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95273589600).

50822812800 is an abundant number, since it is smaller than the sum of its proper divisors (139724366400).

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

50822812800 is a wasteful number, since it uses less digits than its factorization.

50822812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14421 (or 14398 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 50822812800 in words is "fifty billion, eight hundred twenty-two million, eight hundred twelve thousand, eight hundred".