51609600 has 288 divisors, whose sum is σ = 211284840. Its totient is φ = 11796480.

The previous prime is 51609541. The next prime is 51609617. The reversal of 51609600 is 690615.

51609600 is a `hidden beast` number, since 51 + 6 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7372797 + ... + 7372803.

Almost surely, 2^51609600 is an apocalyptic number.

51609600 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 51609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105642420).

51609600 is an abundant number, since it is smaller than the sum of its proper divisors (159675240).

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

51609600 is an equidigital number, since it uses as much as digits as its factorization.

51609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 51609600 is about 7183.9821826060. The cubic root of 51609600 is about 372.3146834321.

The spelling of 51609600 in words is "fifty-one million, six hundred nine thousand, six hundred".