51705169984 has 112 divisors (see below), whose sum is σ = 120322238400. Its totient is φ = 21828151296.

The previous prime is 51705169981. The next prime is 51705169993. The reversal of 51705169984 is 48996150715.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51705169981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402039 + ... + 514825.

It is an arithmetic number, because the mean of its divisors is an integer number (1074305700).

Almost surely, 2^51705169984 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 51705169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60161119200).

51705169984 is an abundant number, since it is smaller than the sum of its proper divisors (68617068416).

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

51705169984 is a wasteful number, since it uses less digits than its factorization.

51705169984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112860 (or 112850 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 55.

The spelling of 51705169984 in words is "fifty-one billion, seven hundred five million, one hundred sixty-nine thousand, nine hundred eighty-four".