50464310400 has 576 divisors, whose sum is σ = 209719523520. Its totient is φ = 11314667520.

The previous prime is 50464310387. The next prime is 50464310437. The reversal of 50464310400 is 401346405.

50464310400 is a `hidden beast` number, since 5 + 0 + 4 + 643 + 10 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 10682439 + ... + 10687161.

It is an arithmetic number, because the mean of its divisors is an integer number (364096395).

Almost surely, 2^50464310400 is an apocalyptic number.

50464310400 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 50464310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104859761760).

50464310400 is an abundant number, since it is smaller than the sum of its proper divisors (159255213120).

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

50464310400 is a wasteful number, since it uses less digits than its factorization.

50464310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 50464310400 its reverse (401346405), we get a palindrome (50865656805).

The spelling of 50464310400 in words is "fifty billion, four hundred sixty-four million, three hundred ten thousand, four hundred".