51598128960 has 504 divisors, whose sum is σ = 208149626880. Its totient is φ = 11696928768.

The previous prime is 51598128937. The next prime is 51598128973. The reversal of 51598128960 is 6982189515.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 51598128897 and 51598128906.

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 71 ways as a sum of consecutive naturals, for example, 17920801 + ... + 17923679.

Almost surely, 2^51598128960 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 51598128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104074813440).

51598128960 is an abundant number, since it is smaller than the sum of its proper divisors (156551497920).

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

51598128960 is a wasteful number, since it uses less digits than its factorization.

51598128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 51598128960 in words is "fifty-one billion, five hundred ninety-eight million, one hundred twenty-eight thousand, nine hundred sixty".