50961938227200 has 7056 divisors, whose sum is σ = 264603100651008. Its totient is φ = 9459597312000.

The previous prime is 50961938227183. The next prime is 50961938227201. The reversal of 50961938227200 is 272283916905.

50961938227200 is a `hidden beast` number, since 50 + 9 + 6 + 1 + 9 + 382 + 2 + 7 + 200 = 666.

It is a super-3 number, since 3×50961938227200³ (a number of 42 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (50961938227201) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1643933491185 + ... + 1643933491215.

Almost surely, 2^{50961938227200} is an apocalyptic number.

50961938227200 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 50961938227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132301550325504).

50961938227200 is an abundant number, since it is smaller than the sum of its proper divisors (213641162423808).

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

50961938227200 is a wasteful number, since it uses less digits than its factorization.

50961938227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 50961938227200 in words is "fifty trillion, nine hundred sixty-one billion, nine hundred thirty-eight million, two hundred twenty-seven thousand, two hundred".