50945241600 has 720 divisors, whose sum is σ = 206398352160. Its totient is φ = 12342067200.

The previous prime is 50945241583. The next prime is 50945241619. The reversal of 50945241600 is 614254905.

50945241600 is a `hidden beast` number, since 5 + 0 + 9 + 4 + 5 + 2 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34213656 + ... + 34215144.

It is an arithmetic number, because the mean of its divisors is an integer number (286664378).

Almost surely, 2^50945241600 is an apocalyptic number.

50945241600 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 50945241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103199176080).

50945241600 is an abundant number, since it is smaller than the sum of its proper divisors (155453110560).

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

50945241600 is a wasteful number, since it uses less digits than its factorization.

50945241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 50945241600 in words is "fifty billion, nine hundred forty-five million, two hundred forty-one thousand, six hundred".