51160119120 has 240 divisors, whose sum is σ = 187632312192. Its totient is φ = 12389207040.

The previous prime is 51160119083. The next prime is 51160119187. The reversal of 51160119120 is 2191106115.

51160119120 is a `hidden beast` number, since 51 + 1 + 601 + 1 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8843749 + ... + 8849531.

Almost surely, 2^51160119120 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 51160119120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93816156096).

51160119120 is an abundant number, since it is smaller than the sum of its proper divisors (136472193072).

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

51160119120 is a wasteful number, since it uses less digits than its factorization.

51160119120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 51160119120 in words is "fifty-one billion, one hundred sixty million, one hundred nineteen thousand, one hundred twenty".