51432550233200 has 120 divisors (see below), whose sum is σ = 125624440510800. Its totient is φ = 20230592716800.

The previous prime is 51432550233191. The next prime is 51432550233209. The reversal of 51432550233200 is 233205523415.

51432550233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51432550233191) and next prime (51432550233209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51432550233209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96039776 + ... + 96573824.

It is an arithmetic number, because the mean of its divisors is an integer number (1046870337590).

Almost surely, 2^{51432550233200} is an apocalyptic number.

51432550233200 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 51432550233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62812220255400).

51432550233200 is an abundant number, since it is smaller than the sum of its proper divisors (74191890277600).

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

51432550233200 is a wasteful number, since it uses less digits than its factorization.

51432550233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538075 (or 538064 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 51432550233200 its reverse (233205523415), we get a palindrome (51665755756615).

The spelling of 51432550233200 in words is "fifty-one trillion, four hundred thirty-two billion, five hundred fifty million, two hundred thirty-three thousand, two hundred".