51536160 has 144 divisors (see below), whose sum is σ = 189464184. Its totient is φ = 12681216.

The previous prime is 51536143. The next prime is 51536171. The reversal of 51536160 is 6163515.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43718544 + 7817616 = 6612^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17344 + ... + 20096.

Almost surely, 2^51536160 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 51536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94732092).

51536160 is an abundant number, since it is smaller than the sum of its proper divisors (137928024).

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

51536160 is a wasteful number, since it uses less digits than its factorization.

51536160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 51536160 is about 7178.8689917006. The cubic root of 51536160 is about 372.1379994422.

Adding to 51536160 its reverse (6163515), we get a palindrome (57699675).

The spelling of 51536160 in words is "fifty-one million, five hundred thirty-six thousand, one hundred sixty".