51782019168 has 192 divisors, whose sum is σ = 150214901760. Its totient is φ = 15488678400.

The previous prime is 51782019139. The next prime is 51782019181. The reversal of 51782019168 is 86191028715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28034821 + ... + 28036667.

It is an arithmetic number, because the mean of its divisors is an integer number (782369280).

Almost surely, 2^51782019168 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 51782019168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75107450880).

51782019168 is an abundant number, since it is smaller than the sum of its proper divisors (98432882592).

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

51782019168 is a wasteful number, since it uses less digits than its factorization.

51782019168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 51782019168 in words is "fifty-one billion, seven hundred eighty-two million, nineteen thousand, one hundred sixty-eight".