229065580800 has 864 divisors, whose sum is σ = 1010579763200. Its totient is φ = 49597194240.

The previous prime is 229065580699. The next prime is 229065580813. The reversal of 229065580800 is 8085560922.

229065580800 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 65 + 580 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22977417 + ... + 22987383.

Almost surely, 2^229065580800 is an apocalyptic number.

229065580800 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 229065580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505289881600).

229065580800 is an abundant number, since it is smaller than the sum of its proper divisors (781514182400).

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

229065580800 is a wasteful number, since it uses less digits than its factorization.

229065580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028 (or 10003 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 229065580800 in words is "two hundred twenty-nine billion, sixty-five million, five hundred eighty thousand, eight hundred".