221727227904000 has 5120 divisors, whose sum is σ = 1081654269696000. Its totient is φ = 44030125670400.

The previous prime is 221727227903981. The next prime is 221727227904053. The reversal of 221727227904000 is 409722727122.

221727227904000 is a `hidden beast` number, since 2 + 2 + 1 + 72 + 72 + 27 + 90 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13042778111992 + ... + 13042778112008.

It is an arithmetic number, because the mean of its divisors is an integer number (211260599550).

Almost surely, 2^{221727227904000} is an apocalyptic number.

221727227904000 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 221727227904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540827134848000).

221727227904000 is an abundant number, since it is smaller than the sum of its proper divisors (859927041792000).

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

221727227904000 is an frugal number, since it uses more digits than its factorization.

221727227904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 221727227904000 in words is "two hundred twenty-one trillion, seven hundred twenty-seven billion, two hundred twenty-seven million, nine hundred four thousand".