51668805318144 has 360 divisors, whose sum is σ = 165454305775704. Its totient is φ = 14286285619200.

The previous prime is 51668805318133. The next prime is 51668805318157. The reversal of 51668805318144 is 44181350886615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71971524 + ... + 72685884.

Almost surely, 2^{51668805318144} 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 51668805318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82727152887852).

51668805318144 is an abundant number, since it is smaller than the sum of its proper divisors (113785500457560).

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

51668805318144 is an equidigital number, since it uses as much as digits as its factorization.

51668805318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714458 (or 714404 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 51668805318144 in words is "fifty-one trillion, six hundred sixty-eight billion, eight hundred five million, three hundred eighteen thousand, one hundred forty-four".