51586288416 has 72 divisors (see below), whose sum is σ = 157983019740. Its totient is φ = 15872702976.

The previous prime is 51586288393. The next prime is 51586288421. The reversal of 51586288416 is 61488268515.

51586288416 is a `hidden beast` number, since 5 + 1 + 5 + 8 + 628 + 8 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49470656400 + 2115632016 = 222420^2 + 45996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×51586288416² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6885451 + ... + 6892938.

Almost surely, 2^51586288416 is an apocalyptic number.

It is an amenable number.

51586288416 is an abundant number, since it is smaller than the sum of its proper divisors (106396731324).

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

51586288416 is a wasteful number, since it uses less digits than its factorization.

51586288416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13778418 (or 13778407 counting only the distinct ones).

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

The spelling of 51586288416 in words is "fifty-one billion, five hundred eighty-six million, two hundred eighty-eight thousand, four hundred sixteen".