51441109200 has 1440 divisors, whose sum is σ = 222139532160. Its totient is φ = 10882252800.

The previous prime is 51441109193. The next prime is 51441109231. The reversal of 51441109200 is 290114415.

51441109200 is a `hidden beast` number, since 5 + 1 + 441 + 10 + 9 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 619772359 + ... + 619772441.

It is an arithmetic number, because the mean of its divisors is an integer number (154263564).

Almost surely, 2^51441109200 is an apocalyptic number.

51441109200 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 51441109200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111069766080).

51441109200 is an abundant number, since it is smaller than the sum of its proper divisors (170698422960).

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

51441109200 is a wasteful number, since it uses less digits than its factorization.

51441109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 51441109200 in words is "fifty-one billion, four hundred forty-one million, one hundred nine thousand, two hundred".