50565600 has 144 divisors (see below), whose sum is σ = 182957040. Its totient is φ = 13478400.

The previous prime is 50565583. The next prime is 50565601. The reversal of 50565600 is 656505.

50565600 is a `hidden beast` number, since 5 + 0 + 5 + 656 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50565601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20430 + ... + 22770.

It is an arithmetic number, because the mean of its divisors is an integer number (1270535).

Almost surely, 2^50565600 is an apocalyptic number.

50565600 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 50565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91478520).

50565600 is an abundant number, since it is smaller than the sum of its proper divisors (132391440).

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

50565600 is a wasteful number, since it uses less digits than its factorization.

50565600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 50565600 is about 7110.9493037147. The cubic root of 50565600 is about 369.7870700833.

The spelling of 50565600 in words is "fifty million, five hundred sixty-five thousand, six hundred".