51186668544 has 528 divisors, whose sum is σ = 174278632320. Its totient is φ = 14306181120.

The previous prime is 51186668531. The next prime is 51186668549. The reversal of 51186668544 is 44586668115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51186668549) 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 47 ways as a sum of consecutive naturals, for example, 67617414 + ... + 67618170.

Almost surely, 2^51186668544 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 51186668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87139316160).

51186668544 is an abundant number, since it is smaller than the sum of its proper divisors (123091963776).

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

51186668544 is a wasteful number, since it uses less digits than its factorization.

51186668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 825 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 51186668544 in words is "fifty-one billion, one hundred eighty-six million, six hundred sixty-eight thousand, five hundred forty-four".