51005671128 has 96 divisors (see below), whose sum is σ = 139249983600. Its totient is φ = 16865798400.

The previous prime is 51005671127. The next prime is 51005671147. The reversal of 51005671128 is 82117650015.

51005671128 is a `hidden beast` number, since 510 + 0 + 56 + 71 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51005671092 and 51005671101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005671127) 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 23 ways as a sum of consecutive naturals, for example, 5455738 + ... + 5465078.

Almost surely, 2^51005671128 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 51005671128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69624991800).

51005671128 is an abundant number, since it is smaller than the sum of its proper divisors (88244312472).

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

51005671128 is a wasteful number, since it uses less digits than its factorization.

51005671128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 51005671128 in words is "fifty-one billion, five million, six hundred seventy-one thousand, one hundred twenty-eight".