51030588960 has 288 divisors, whose sum is σ = 188117158320. Its totient is φ = 12522553344.

The previous prime is 51030588937. The next prime is 51030588979. The reversal of 51030588960 is 6988503015.

51030588960 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 0 + 588 + 9 + 60 = 666.

51030588960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 194769936 + 50835819024 = 13956^2 + 225468^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6304596 + ... + 6312684.

Almost surely, 2^51030588960 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 51030588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058579160).

51030588960 is an abundant number, since it is smaller than the sum of its proper divisors (137086569360).

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

51030588960 is a wasteful number, since it uses less digits than its factorization.

51030588960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 51030588960 in words is "fifty-one billion, thirty million, five hundred eighty-eight thousand, nine hundred sixty".