50997382207200 has 1008 divisors, whose sum is σ = 219293989192656. Its totient is φ = 11411982950400.

The previous prime is 50997382207151. The next prime is 50997382207201. The reversal of 50997382207200 is 270228379905.

50997382207200 is a `hidden beast` number, since 5 + 0 + 99 + 73 + 82 + 207 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50997382207201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 83091852 + ... + 83703348.

It is an arithmetic number, because the mean of its divisors is an integer number (217553560707).

Almost surely, 2^{50997382207200} is an apocalyptic number.

50997382207200 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 50997382207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109646994596328).

50997382207200 is an abundant number, since it is smaller than the sum of its proper divisors (168296606985456).

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

50997382207200 is a wasteful number, since it uses less digits than its factorization.

50997382207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611559 (or 611531 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 50997382207200 in words is "fifty trillion, nine hundred ninety-seven billion, three hundred eighty-two million, two hundred seven thousand, two hundred".