51412268160 has 768 divisors, whose sum is σ = 206024757120. Its totient is φ = 12143001600.

The previous prime is 51412268123. The next prime is 51412268177. The reversal of 51412268160 is 6186221415.

It is a happy number.

51412268160 is a `hidden beast` number, since 514 + 1 + 2 + 2 + 6 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 70139154 + ... + 70139886.

Almost surely, 2^51412268160 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 51412268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103012378560).

51412268160 is an abundant number, since it is smaller than the sum of its proper divisors (154612488960).

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

51412268160 is a wasteful number, since it uses less digits than its factorization.

51412268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 51412268160 its reverse (6186221415), we get a palindrome (57598489575).

The spelling of 51412268160 in words is "fifty-one billion, four hundred twelve million, two hundred sixty-eight thousand, one hundred sixty".