51811200 has 288 divisors, whose sum is σ = 212106960. Its totient is φ = 11796480.

The previous prime is 51811183. The next prime is 51811213. The reversal of 51811200 is 211815.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 201472 + ... + 201728.

Almost surely, 2^51811200 is an apocalyptic number.

51811200 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 51811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106053480).

51811200 is an abundant number, since it is smaller than the sum of its proper divisors (160295760).

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

51811200 is a wasteful number, since it uses less digits than its factorization.

51811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 51811200 is about 7197.9997221450. Note that the first 3 decimals coincide. The cubic root of 51811200 is about 372.7988383123.

The spelling of 51811200 in words is "fifty-one million, eight hundred eleven thousand, two hundred".