223065561600 has 1080 divisors, whose sum is σ = 951252999840. Its totient is φ = 49746493440.

The previous prime is 223065561569. The next prime is 223065561611. The reversal of 223065561600 is 6165560322.

It is a happy number.

223065561600 is a `hidden beast` number, since 2 + 2 + 30 + 6 + 5 + 5 + 616 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 242725941 + ... + 242726859.

Almost surely, 2^223065561600 is an apocalyptic number.

223065561600 is a gapful number since it is divisible by the number (20) 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 223065561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475626499920).

223065561600 is an abundant number, since it is smaller than the sum of its proper divisors (728187438240).

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

223065561600 is a wasteful number, since it uses less digits than its factorization.

223065561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 223065561600 in words is "two hundred twenty-three billion, sixty-five million, five hundred sixty-one thousand, six hundred".