51180543797760 has 960 divisors, whose sum is σ = 199263064160160. Its totient is φ = 12056686755840.

The previous prime is 51180543797753. The next prime is 51180543797791. The reversal of 51180543797760 is 6779734508115.

51180543797760 is a `hidden beast` number, since 5 + 1 + 1 + 80 + 543 + 7 + 9 + 7 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3152982640896 + 48027561156864 = 1775664^2 + 6930192^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 675978786 + ... + 676054494.

Almost surely, 2^{51180543797760} 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 51180543797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99631532080080).

51180543797760 is an abundant number, since it is smaller than the sum of its proper divisors (148082520362400).

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

51180543797760 is a wasteful number, since it uses less digits than its factorization.

51180543797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75849 (or 75830 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 51180543797760 in words is "fifty-one trillion, one hundred eighty billion, five hundred forty-three million, seven hundred ninety-seven thousand, seven hundred sixty".