51888 has 40 divisors (see below), whose sum is σ = 142848. Its totient is φ = 16192.

The previous prime is 51871. The next prime is 51893. The reversal of 51888 is 88815.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081 + ... + 1127.

2⁵¹⁸⁸⁸ 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 51888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424).

51888 is an abundant number, since it is smaller than the sum of its proper divisors (90960).

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

51888 is a wasteful number, since it uses less digits than its factorization.

51888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 51888 is about 227.7893763985. The cubic root of 51888 is about 37.2982947899.

It can be divided in two parts, 518 and 88, that added together give a palindrome (606).

The spelling of 51888 in words is "fifty-one thousand, eight hundred eighty-eight".