51436800 has 324 divisors, whose sum is σ = 197695680. Its totient is φ = 12718080.

The previous prime is 51436799. The next prime is 51436813. The reversal of 51436800 is 863415.

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, 1094377 + ... + 1094423.

Almost surely, 2^51436800 is an apocalyptic number.

51436800 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 51436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98847840).

51436800 is an abundant number, since it is smaller than the sum of its proper divisors (146258880).

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

51436800 is a wasteful number, since it uses less digits than its factorization.

51436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51436800 is about 7171.9453427923. The cubic root of 51436800 is about 371.8986890260.

The spelling of 51436800 in words is "fifty-one million, four hundred thirty-six thousand, eight hundred".