50668800 has 432 divisors, whose sum is σ = 212903040. Its totient is φ = 10321920.

The previous prime is 50668781. The next prime is 50668819. The reversal of 50668800 is 886605.

It is an interprime number because it is at equal distance from previous prime (50668781) and next prime (50668819).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747186 + ... + 1747214.

Almost surely, 2^50668800 is an apocalyptic number.

50668800 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 50668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451520).

50668800 is an abundant number, since it is smaller than the sum of its proper divisors (162234240).

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

50668800 is a wasteful number, since it uses less digits than its factorization.

50668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 50668800 is about 7118.2020201734. The cubic root of 50668800 is about 370.0384669040.

The spelling of 50668800 in words is "fifty million, six hundred sixty-eight thousand, eight hundred".