51832832497920 has 1728 divisors, whose sum is σ = 201231448104960. Its totient is φ = 12732832972800.

The previous prime is 51832832497913. The next prime is 51832832498017. The reversal of 51832832497920 is 2979423823815.

51832832497920 is a `hidden beast` number, since 5 + 1 + 8 + 3 + 28 + 32 + 497 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 50274327805 + ... + 50274328835.

It is an arithmetic number, because the mean of its divisors is an integer number (116453384320).

Almost surely, 2^{51832832497920} 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 51832832497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100615724052480).

51832832497920 is an abundant number, since it is smaller than the sum of its proper divisors (149398615607040).

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

51832832497920 is a wasteful number, since it uses less digits than its factorization.

51832832497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 51832832497920 in words is "fifty-one trillion, eight hundred thirty-two billion, eight hundred thirty-two million, four hundred ninety-seven thousand, nine hundred twenty".