51080082144 has 288 divisors, whose sum is σ = 176819690880. Its totient is φ = 12762344448.

The previous prime is 51080082133. The next prime is 51080082161. The reversal of 51080082144 is 44128008015.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1139907 + ... + 1183869.

It is an arithmetic number, because the mean of its divisors is an integer number (613957260).

Almost surely, 2^51080082144 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 51080082144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88409845440).

51080082144 is an abundant number, since it is smaller than the sum of its proper divisors (125739608736).

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

51080082144 is a wasteful number, since it uses less digits than its factorization.

51080082144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44022 (or 44007 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 51080082144 in words is "fifty-one billion, eighty million, eighty-two thousand, one hundred forty-four".