50856422400 has 1056 divisors, whose sum is σ = 223206190080. Its totient is φ = 11094589440.

The previous prime is 50856422387. The next prime is 50856422401. The reversal of 50856422400 is 422465805.

It is a happy number.

50856422400 is a `hidden beast` number, since 5 + 0 + 8 + 5 + 642 + 2 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (50856422401) 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 95 ways as a sum of consecutive naturals, for example, 111282972 + ... + 111283428.

Almost surely, 2^50856422400 is an apocalyptic number.

50856422400 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 50856422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111603095040).

50856422400 is an abundant number, since it is smaller than the sum of its proper divisors (172349767680).

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

50856422400 is a wasteful number, since it uses less digits than its factorization.

50856422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 50856422400 in words is "fifty billion, eight hundred fifty-six million, four hundred twenty-two thousand, four hundred".