51736061767680 has 1664 divisors, whose sum is σ = 202811938387200. Its totient is φ = 12453157011456.

The previous prime is 51736061767657. The next prime is 51736061767693. The reversal of 51736061767680 is 8676716063715.

It is a happy number.

51736061767680 is a `hidden beast` number, since 5 + 1 + 7 + 3 + 6 + 0 + 617 + 6 + 7 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×51736061767680³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47161404892 + ... + 47161405988.

Almost surely, 2^{51736061767680} 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 51736061767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101405969193600).

51736061767680 is an abundant number, since it is smaller than the sum of its proper divisors (151075876619520).

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

51736061767680 is a wasteful number, since it uses less digits than its factorization.

51736061767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 51736061767680 in words is "fifty-one trillion, seven hundred thirty-six billion, sixty-one million, seven hundred sixty-seven thousand, six hundred eighty".