51324399168 has 448 divisors, whose sum is σ = 173345660928. Its totient is φ = 13057228800.

The previous prime is 51324399167. The next prime is 51324399193. The reversal of 51324399168 is 86199342315.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 51324399168.

It is not an unprimeable number, because it can be changed into a prime (51324399167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 53075421 + ... + 53076387.

Almost surely, 2^51324399168 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 51324399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86672830464).

51324399168 is an abundant number, since it is smaller than the sum of its proper divisors (122021261760).

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

51324399168 is a wasteful number, since it uses less digits than its factorization.

51324399168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1120 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The spelling of 51324399168 in words is "fifty-one billion, three hundred twenty-four million, three hundred ninety-nine thousand, one hundred sixty-eight".