51189600 has 288 divisors, whose sum is σ = 208486656. Its totient is φ = 10598400.

The previous prime is 51189599. The next prime is 51189617. The reversal of 51189600 is 698115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 184662 + ... + 184938.

It is an arithmetic number, because the mean of its divisors is an integer number (723912).

Almost surely, 2^51189600 is an apocalyptic number.

51189600 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 51189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104243328).

51189600 is an abundant number, since it is smaller than the sum of its proper divisors (157297056).

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

51189600 is a wasteful number, since it uses less digits than its factorization.

51189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 51189600 is about 7154.6907689990. The cubic root of 51189600 is about 371.3019630470.

The spelling of 51189600 in words is "fifty-one million, one hundred eighty-nine thousand, six hundred".