51819600 has 240 divisors, whose sum is σ = 196812800. Its totient is φ = 11404800.

The previous prime is 51819589. The next prime is 51819619. The reversal of 51819600 is 691815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 260301 + ... + 260499.

Almost surely, 2^51819600 is an apocalyptic number.

51819600 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 51819600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98406400).

51819600 is an abundant number, since it is smaller than the sum of its proper divisors (144993200).

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

51819600 is a wasteful number, since it uses less digits than its factorization.

51819600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

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

The square root of 51819600 is about 7198.5831939348. The cubic root of 51819600 is about 372.8189841561.

The spelling of 51819600 in words is "fifty-one million, eight hundred nineteen thousand, six hundred".