51757200 has 180 divisors, whose sum is σ = 196090128. Its totient is φ = 12537600.

The previous prime is 51757193. The next prime is 51757229. The reversal of 51757200 is 275715.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38947 + ... + 40253.

Almost surely, 2^51757200 is an apocalyptic number.

51757200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51757200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98045064).

51757200 is an abundant number, since it is smaller than the sum of its proper divisors (144332928).

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

51757200 is a wasteful number, since it uses less digits than its factorization.

51757200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 51757200 is about 7194.2477021576. The cubic root of 51757200 is about 372.6692772960.

The spelling of 51757200 in words is "fifty-one million, seven hundred fifty-seven thousand, two hundred".