51368800 has 72 divisors (see below), whose sum is σ = 143334576. Its totient is φ = 17610240.

The previous prime is 51368797. The next prime is 51368843. The reversal of 51368800 is 886315.

51368800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51368800² = 5277507226880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1014 + ... + 10186.

It is an arithmetic number, because the mean of its divisors is an integer number (1990758).

Almost surely, 2^51368800 is an apocalyptic number.

51368800 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 51368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71667288).

51368800 is an abundant number, since it is smaller than the sum of its proper divisors (91965776).

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

51368800 is a wasteful number, since it uses less digits than its factorization.

51368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 51368800 is about 7167.2030807003. The cubic root of 51368800 is about 371.7347320717.

The spelling of 51368800 in words is "fifty-one million, three hundred sixty-eight thousand, eight hundred".