51788800 has 198 divisors, whose sum is σ = 155850392. Its totient is φ = 16711680.

The previous prime is 51788797. The next prime is 51788827. The reversal of 51788800 is 888715.

It is a self number, because there is not a number n which added to its sum of digits gives 51788800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3046392 + ... + 3046408.

Almost surely, 2^51788800 is an apocalyptic number.

51788800 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 51788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77925196).

51788800 is an abundant number, since it is smaller than the sum of its proper divisors (104061592).

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

51788800 is a wasteful number, since it uses less digits than its factorization.

51788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 37.

The square root of 51788800 is about 7196.4435660957. The cubic root of 51788800 is about 372.7451054147.

The spelling of 51788800 in words is "fifty-one million, seven hundred eighty-eight thousand, eight hundred".