51892800 has 168 divisors, whose sum is σ = 179527200. Its totient is φ = 13086720.

The previous prime is 51892733. The next prime is 51892817. The reversal of 51892800 is 829815.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90916 + ... + 91484.

Almost surely, 2^51892800 is an apocalyptic number.

51892800 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 51892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89763600).

51892800 is an abundant number, since it is smaller than the sum of its proper divisors (127634400).

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

51892800 is a wasteful number, since it uses less digits than its factorization.

51892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 51892800 is about 7203.6657334999. The cubic root of 51892800 is about 372.9944487143.

The spelling of 51892800 in words is "fifty-one million, eight hundred ninety-two thousand, eight hundred".