51901984305792 has 192 divisors, whose sum is σ = 151683181191360. Its totient is φ = 17031125422080.

The previous prime is 51901984305791. The next prime is 51901984305811. The reversal of 51901984305792 is 29750348910915.

51901984305792 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 19 + 8 + 43 + 0 + 579 + 2 = 666.

51901984305792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (51901984305791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116402508 + ... + 116847540.

It is an arithmetic number, because the mean of its divisors is an integer number (790016568705).

Almost surely, 2^{51901984305792} 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 51901984305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841590595680).

51901984305792 is an abundant number, since it is smaller than the sum of its proper divisors (99781196885568).

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

51901984305792 is a wasteful number, since it uses less digits than its factorization.

51901984305792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446631 (or 446616 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 51901984305792 in words is "fifty-one trillion, nine hundred one billion, nine hundred eighty-four million, three hundred five thousand, seven hundred ninety-two".