51286588416 has 132 divisors (see below), whose sum is σ = 169244682672. Its totient is φ = 14653292544.

The previous prime is 51286588411. The next prime is 51286588417. The reversal of 51286588416 is 61488568215.

51286588416 is a `hidden beast` number, since 5 + 12 + 8 + 6 + 588 + 41 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51286588411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 332985 + ... + 462008.

Almost surely, 2^51286588416 is an apocalyptic number.

51286588416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

51286588416 is an abundant number, since it is smaller than the sum of its proper divisors (117958094256).

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

51286588416 is a wasteful number, since it uses less digits than its factorization.

51286588416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795026 (or 795005 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 51286588416 in words is "fifty-one billion, two hundred eighty-six million, five hundred eighty-eight thousand, four hundred sixteen".