51712664371200 has 4608 divisors, whose sum is σ = 242791635340800. Its totient is φ = 10640613703680.

The previous prime is 51712664371133. The next prime is 51712664371211. The reversal of 51712664371200 is 217346621715.

51712664371200 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 2 + 6 + 6 + 437 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 876485836771 + ... + 876485836829.

It is an arithmetic number, because the mean of its divisors is an integer number (52689156975).

Almost surely, 2^{51712664371200} is an apocalyptic number.

51712664371200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51712664371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121395817670400).

51712664371200 is an abundant number, since it is smaller than the sum of its proper divisors (191078970969600).

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

51712664371200 is an equidigital number, since it uses as much as digits as its factorization.

51712664371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 51712664371200 in words is "fifty-one trillion, seven hundred twelve billion, six hundred sixty-four million, three hundred seventy-one thousand, two hundred".