50241254400 has 330 divisors, whose sum is σ = 186045136310. Its totient is φ = 13397114880.

The previous prime is 50241254387. The next prime is 50241254429. The reversal of 50241254400 is 445214205.

50241254400 is a `hidden beast` number, since 5 + 0 + 2 + 4 + 1 + 254 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36578304 + 50204676096 = 6048^2 + 224064^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2061486 + ... + 2085714.

Almost surely, 2^50241254400 is an apocalyptic number.

50241254400 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 50241254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93022568155).

50241254400 is an abundant number, since it is smaller than the sum of its proper divisors (135803881910).

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

50241254400 is a wasteful number, since it uses less digits than its factorization.

50241254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24271 (or 24239 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 50241254400 its reverse (445214205), we get a palindrome (50686468605).

The spelling of 50241254400 in words is "fifty billion, two hundred forty-one million, two hundred fifty-four thousand, four hundred".