51759360 has 108 divisors (see below), whose sum is σ = 179121852. Its totient is φ = 13799424.

The previous prime is 51759349. The next prime is 51759377. The reversal of 51759360 is 6395715.

It is a happy number.

51759360 is a `hidden beast` number, since 5 + 1 + 7 + 593 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 11614464 = 6336^2 + 3408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9274 + ... + 13766.

Almost surely, 2^51759360 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 51759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89560926).

51759360 is an abundant number, since it is smaller than the sum of its proper divisors (127362492).

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

51759360 is a wasteful number, since it uses less digits than its factorization.

51759360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 51759360 is about 7194.3978205267. The cubic root of 51759360 is about 372.6744614664.

It can be divided in two parts, 517593 and 60, that added together give a triangular number (517653 = T₁₀₁₇).

The spelling of 51759360 in words is "fifty-one million, seven hundred fifty-nine thousand, three hundred sixty".