51945960 has 256 divisors, whose sum is σ = 186624000. Its totient is φ = 11432960.

The previous prime is 51945947. The next prime is 51945961. The reversal of 51945960 is 6954915.

It is not an unprimeable number, because it can be changed into a prime (51945961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880411 + ... + 880469.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 2^51945960 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 51945960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

51945960 is an abundant number, since it is smaller than the sum of its proper divisors (134678040).

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

51945960 is a wasteful number, since it uses less digits than its factorization.

51945960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 51945960 is about 7207.3545770969. The cubic root of 51945960 is about 373.1217728510.

The spelling of 51945960 in words is "fifty-one million, nine hundred forty-five thousand, nine hundred sixty".