51067374336 has 648 divisors, whose sum is σ = 176421073920. Its totient is φ = 14141952000.

The previous prime is 51067374299. The next prime is 51067374361. The reversal of 51067374336 is 63347376015.

It is a happy number.

51067374336 is a `hidden beast` number, since 510 + 67 + 3 + 7 + 43 + 36 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51067374291 and 51067374300.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 164203621 + ... + 164203931.

Almost surely, 2^51067374336 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 51067374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88210536960).

51067374336 is an abundant number, since it is smaller than the sum of its proper divisors (125353699584).

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

51067374336 is a wasteful number, since it uses less digits than its factorization.

51067374336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 51067374336 in words is "fifty-one billion, sixty-seven million, three hundred seventy-four thousand, three hundred thirty-six".