51756758646660 has 288 divisors, whose sum is σ = 160946365612032. Its totient is φ = 13456759599360.

The previous prime is 51756758646643. The next prime is 51756758646661. The reversal of 51756758646660 is 6664685765715.

It is a super-2 number, since 2×51756758646660² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51756758646661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6002171109 + ... + 6002179731.

It is an arithmetic number, because the mean of its divisors is an integer number (558841547264).

Almost surely, 2^{51756758646660} 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 51756758646660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80473182806016).

51756758646660 is an abundant number, since it is smaller than the sum of its proper divisors (109189606965372).

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

51756758646660 is a wasteful number, since it uses less digits than its factorization.

51756758646660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11303 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 51756758646660 in words is "fifty-one trillion, seven hundred fifty-six billion, seven hundred fifty-eight million, six hundred forty-six thousand, six hundred sixty".