51543814111200 has 864 divisors, whose sum is σ = 186309307128672. Its totient is φ = 13405077504000.

The previous prime is 51543814111081. The next prime is 51543814111219. The reversal of 51543814111200 is 211141834515.

51543814111200 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 38 + 1 + 411 + 1 + 200 = 666.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29006084712 + ... + 29006086488.

Almost surely, 2^{51543814111200} is an apocalyptic number.

51543814111200 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 51543814111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93154653564336).

51543814111200 is an abundant number, since it is smaller than the sum of its proper divisors (134765493017472).

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

51543814111200 is a wasteful number, since it uses less digits than its factorization.

51543814111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 51543814111200 its reverse (211141834515), we get a palindrome (51754955945715).

The spelling of 51543814111200 in words is "fifty-one trillion, five hundred forty-three billion, eight hundred fourteen million, one hundred eleven thousand, two hundred".