51659200 has 84 divisors (see below), whose sum is σ = 128976120. Its totient is φ = 20362240.

The previous prime is 51659189. The next prime is 51659203. The reversal of 51659200 is 295615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51659203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132606 + ... + 132994.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430).

Almost surely, 2^51659200 is an apocalyptic number.

51659200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51659200 is the 4150-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64488060).

51659200 is an abundant number, since it is smaller than the sum of its proper divisors (77316920).

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

51659200 is a wasteful number, since it uses less digits than its factorization.

51659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 51659200 is about 7187.4334779530. The cubic root of 51659200 is about 372.4339176801.

It can be divided in two parts, 5165 and 9200, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 51659200 in words is "fifty-one million, six hundred fifty-nine thousand, two hundred".