51226584336 has 120 divisors (see below), whose sum is σ = 145539113720. Its totient is φ = 16817061888.

The previous prime is 51226584287. The next prime is 51226584379. The reversal of 51226584336 is 63348562215.

51226584336 is a `hidden beast` number, since 5 + 12 + 26 + 584 + 3 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4337012736 + 46889571600 = 65856^2 + 216540^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51226584291 and 51226584300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8080560 + ... + 8086896.

Almost surely, 2^51226584336 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 51226584336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72769556860).

51226584336 is an abundant number, since it is smaller than the sum of its proper divisors (94312529384).

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

51226584336 is a wasteful number, since it uses less digits than its factorization.

51226584336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7184 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 51226584336 in words is "fifty-one billion, two hundred twenty-six million, five hundred eighty-four thousand, three hundred thirty-six".