51305760 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 11980800.

The previous prime is 51305759. The next prime is 51305773. The reversal of 51305760 is 6750315.

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

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, 649401 + ... + 649479.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^51305760 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 51305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

51305760 is an abundant number, since it is smaller than the sum of its proper divisors (146826720).

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

51305760 is a wasteful number, since it uses less digits than its factorization.

51305760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 51305760 is about 7162.8039202536. The cubic root of 51305760 is about 371.5826050334.

The spelling of 51305760 in words is "fifty-one million, three hundred five thousand, seven hundred sixty".