51288120 has 192 divisors, whose sum is σ = 185781600. Its totient is φ = 12579840.

The previous prime is 51288079. The next prime is 51288131. The reversal of 51288120 is 2188215.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 182380 + ... + 182660.

Almost surely, 2^51288120 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 51288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92890800).

51288120 is an abundant number, since it is smaller than the sum of its proper divisors (134493480).

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

51288120 is a wasteful number, since it uses less digits than its factorization.

51288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 51288120 is about 7161.5724530301. The cubic root of 51288120 is about 371.5400141786.

The spelling of 51288120 in words is "fifty-one million, two hundred eighty-eight thousand, one hundred twenty".