51756316607648 has 24 divisors (see below), whose sum is σ = 103817800179828. Its totient is φ = 25389891165184.

The previous prime is 51756316607647. The next prime is 51756316607693. The reversal of 51756316607648 is 84670661365715.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50785405926544 + 970910681104 = 7126388^2 + 985348^2 .

It is a super-3 number, since 3×51756316607648³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (51756316607641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15258346361 + ... + 15258349752.

Almost surely, 2^{51756316607648} is an apocalyptic number.

It is an amenable number.

51756316607648 is an abundant number, since it is smaller than the sum of its proper divisors (52061483572180).

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

51756316607648 is a wasteful number, since it uses less digits than its factorization.

51756316607648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30516696176 (or 30516696168 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 65.

The spelling of 51756316607648 in words is "fifty-one trillion, seven hundred fifty-six billion, three hundred sixteen million, six hundred seven thousand, six hundred forty-eight".