223920127393200 has 1800 divisors, whose sum is σ = 1026343850048352. Its totient is φ = 45635450388480.

The previous prime is 223920127393199. The next prime is 223920127393247. The reversal of 223920127393200 is 2393721029322.

223920127393200 is a `hidden beast` number, since 2 + 2 + 3 + 92 + 0 + 1 + 273 + 93 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 (29) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1391791162 + ... + 1391952038.

Almost surely, 2^{223920127393200} is an apocalyptic number.

223920127393200 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 223920127393200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513171925024176).

223920127393200 is an abundant number, since it is smaller than the sum of its proper divisors (802423722655152).

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

223920127393200 is a wasteful number, since it uses less digits than its factorization.

223920127393200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160969 (or 160930 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 223920127393200 in words is "two hundred twenty-three trillion, nine hundred twenty billion, one hundred twenty-seven million, three hundred ninety-three thousand, two hundred".