51824141107200 has 5376 divisors, whose sum is σ = 255804181056000. Its totient is φ = 10300450406400.

The previous prime is 51824141107163. The next prime is 51824141107201. The reversal of 51824141107200 is 270114142815.

51824141107200 is a `hidden beast` number, since 5 + 18 + 24 + 1 + 411 + 0 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51824141107201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2253223526389 + ... + 2253223526411.

Almost surely, 2^{51824141107200} is an apocalyptic number.

51824141107200 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 51824141107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127902090528000).

51824141107200 is an abundant number, since it is smaller than the sum of its proper divisors (203980039948800).

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

51824141107200 is an frugal number, since it uses more digits than its factorization.

51824141107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 51824141107200 in words is "fifty-one trillion, eight hundred twenty-four billion, one hundred forty-one million, one hundred seven thousand, two hundred".