51983337432192 has 128 divisors (see below), whose sum is σ = 138989747698560. Its totient is φ = 17214069276672.

The previous prime is 51983337432179. The next prime is 51983337432203. The reversal of 51983337432192 is 29123473338915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36104533 + ... + 37516715.

It is an arithmetic number, because the mean of its divisors is an integer number (1085857403895).

Almost surely, 2^{51983337432192} 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 51983337432192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69494873849280).

51983337432192 is an abundant number, since it is smaller than the sum of its proper divisors (87006410266368).

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

51983337432192 is a wasteful number, since it uses less digits than its factorization.

51983337432192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412830 (or 1412818 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 60.

The spelling of 51983337432192 in words is "fifty-one trillion, nine hundred eighty-three billion, three hundred thirty-seven million, four hundred thirty-two thousand, one hundred ninety-two".