51686368032768 has 768 divisors, whose sum is σ = 163578175488000. Its totient is φ = 14208417398784.

The previous prime is 51686368032763. The next prime is 51686368032797. The reversal of 51686368032768 is 86723086368615.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51686368032763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40098035068 + ... + 40098036356.

It is an arithmetic number, because the mean of its divisors is an integer number (212992416000).

Almost surely, 2^{51686368032768} 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 51686368032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81789087744000).

51686368032768 is an abundant number, since it is smaller than the sum of its proper divisors (111891807455232).

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

51686368032768 is a wasteful number, since it uses less digits than its factorization.

51686368032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 69.

The spelling of 51686368032768 in words is "fifty-one trillion, six hundred eighty-six billion, three hundred sixty-eight million, thirty-two thousand, seven hundred sixty-eight".