50914234800 has 1440 divisors, whose sum is σ = 223028572480. Its totient is φ = 11085465600.

The previous prime is 50914234793. The next prime is 50914234817. The reversal of 50914234800 is 843241905.

50914234800 is a `hidden beast` number, since 50 + 91 + 42 + 3 + 480 + 0 = 666.

It is a super-3 number, since 3×50914234800³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1376060382 + ... + 1376060418.

Almost surely, 2^50914234800 is an apocalyptic number.

50914234800 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 50914234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111514286240).

50914234800 is an abundant number, since it is smaller than the sum of its proper divisors (172114337680).

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

50914234800 is a wasteful number, since it uses less digits than its factorization.

50914234800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 50914234800 in words is "fifty billion, nine hundred fourteen million, two hundred thirty-four thousand, eight hundred".