51760581120 has 600 divisors, whose sum is σ = 191094710004. Its totient is φ = 13389594624.

The previous prime is 51760581083. The next prime is 51760581133. The reversal of 51760581120 is 2118506715.

51760581120 is a `hidden beast` number, since 5 + 1 + 7 + 60 + 581 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44019396864 + 7741184256 = 209808^2 + 87984^2 .

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 458058184 + ... + 458058296.

Almost surely, 2^51760581120 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 51760581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95547355002).

51760581120 is an abundant number, since it is smaller than the sum of its proper divisors (139334128884).

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

51760581120 is an equidigital number, since it uses as much as digits as its factorization.

51760581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 51760581120 in words is "fifty-one billion, seven hundred sixty million, five hundred eighty-one thousand, one hundred twenty".