51219906944 has 128 divisors (see below), whose sum is σ = 109719360000. Its totient is φ = 23744268288.

The previous prime is 51219906929. The next prime is 51219907021. The reversal of 51219906944 is 44960991215.

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

It is a junction number, because it is equal to n+sod(n) for n = 51219906892 and 51219906901.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38597609 + ... + 38598935.

It is an arithmetic number, because the mean of its divisors is an integer number (857182500).

Almost surely, 2^51219906944 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 51219906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54859680000).

51219906944 is an abundant number, since it is smaller than the sum of its proper divisors (58499453056).

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

51219906944 is a wasteful number, since it uses less digits than its factorization.

51219906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 51219906944 in words is "fifty-one billion, two hundred nineteen million, nine hundred six thousand, nine hundred forty-four".