51052404342240 has 288 divisors, whose sum is σ = 199136173856256. Its totient is φ = 11667257441280.

The previous prime is 51052404342221. The next prime is 51052404342257. The reversal of 51052404342240 is 4224340425015.

51052404342240 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 2 + 404 + 3 + 4 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 51052404342195 and 51052404342204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63213619 + ... + 64016141.

It is an arithmetic number, because the mean of its divisors is an integer number (691445048112).

Almost surely, 2^{51052404342240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51052404342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99568086928128).

51052404342240 is an abundant number, since it is smaller than the sum of its proper divisors (148083769514016).

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

51052404342240 is a wasteful number, since it uses less digits than its factorization.

51052404342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808862 (or 808851 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 51052404342240 its reverse (4224340425015), we get a palindrome (55276744767255).

The spelling of 51052404342240 in words is "fifty-one trillion, fifty-two billion, four hundred four million, three hundred forty-two thousand, two hundred forty".