51068340216768 has 672 divisors, whose sum is σ = 165823267544064. Its totient is φ = 13813467881472.

The previous prime is 51068340216763. The next prime is 51068340216779. The reversal of 51068340216768 is 86761204386015.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51068340216763) 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, 2830359555 + ... + 2830377597.

Almost surely, 2^{51068340216768} 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 51068340216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82911633772032).

51068340216768 is an abundant number, since it is smaller than the sum of its proper divisors (114754927327296).

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

51068340216768 is a wasteful number, since it uses less digits than its factorization.

51068340216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18329 (or 18312 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 51068340216768 in words is "fifty-one trillion, sixty-eight billion, three hundred forty million, two hundred sixteen thousand, seven hundred sixty-eight".