51435740334420 has 288 divisors, whose sum is σ = 168373501968672. Its totient is φ = 12634741407744.

The previous prime is 51435740334361. The next prime is 51435740334467. The reversal of 51435740334420 is 2443304753415.

51435740334420 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 574 + 0 + 3 + 34 + 42 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 34376973523344 + 17058766811076 = 5863188^2 + 4130226^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5607292954 + ... + 5607302126.

It is an arithmetic number, because the mean of its divisors is an integer number (584630215169).

Almost surely, 2^{51435740334420} 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 51435740334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84186750984336).

51435740334420 is an abundant number, since it is smaller than the sum of its proper divisors (116937761634252).

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

51435740334420 is a wasteful number, since it uses less digits than its factorization.

51435740334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13931 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 51435740334420 in words is "fifty-one trillion, four hundred thirty-five billion, seven hundred forty million, three hundred thirty-four thousand, four hundred twenty".