51712160320000 has 100 divisors (see below), whose sum is σ = 129112821879426. Its totient is φ = 20684864000000.

The previous prime is 51712160319949. The next prime is 51712160320003. The reversal of 51712160320000 is 2306121715.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 8754308077824 + 42957852242176 = 2958768^2 + 6554224^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×51712160320000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51712160320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80480251 + ... + 81120250.

Almost surely, 2^{51712160320000} is an apocalyptic number.

51712160320000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51712160320000 is an abundant number, since it is smaller than the sum of its proper divisors (77400661559426).

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

51712160320000 is an frugal number, since it uses more digits than its factorization.

51712160320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161600539 (or 161600508 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 51712160320000 its reverse (2306121715), we get a palindrome (51714466441715).

The spelling of 51712160320000 in words is "fifty-one trillion, seven hundred twelve billion, one hundred sixty million, three hundred twenty thousand".