51458256960 has 224 divisors, whose sum is σ = 185982815232. Its totient is φ = 11932293120.

The previous prime is 51458256959. The next prime is 51458256989. The reversal of 51458256960 is 6965285415.

It is a happy number.

It is a super-2 number, since 2×51458256960² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 136947 + ... + 348813.

Almost surely, 2^51458256960 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 51458256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92991407616).

51458256960 is an abundant number, since it is smaller than the sum of its proper divisors (134524558272).

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

51458256960 is a wasteful number, since it uses less digits than its factorization.

51458256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211921 (or 211911 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 51458256960 in words is "fifty-one billion, four hundred fifty-eight million, two hundred fifty-six thousand, nine hundred sixty".