51686160393024 has 168 divisors, whose sum is σ = 148328198684640. Its totient is φ = 17207895936000.

The previous prime is 51686160393013. The next prime is 51686160393041. The reversal of 51686160393024 is 42039306168615.

51686160393024 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 6 + 1 + 603 + 9 + 3 + 0 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2459946679 + ... + 2459967689.

Almost surely, 2^{51686160393024} 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 51686160393024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74164099342320).

51686160393024 is an abundant number, since it is smaller than the sum of its proper divisors (96642038291616).

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

51686160393024 is a wasteful number, since it uses less digits than its factorization.

51686160393024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25989 (or 25976 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 51686160393024 in words is "fifty-one trillion, six hundred eighty-six billion, one hundred sixty million, three hundred ninety-three thousand, twenty-four".