221978050560 has 1080 divisors, whose sum is σ = 928684935360. Its totient is φ = 49877876736.

The previous prime is 221978050543. The next prime is 221978050561. The reversal of 221978050560 is 65050879122.

221978050560 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 7 + 80 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (221978050561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3762339811 + ... + 3762339869.

Almost surely, 2^221978050560 is an apocalyptic number.

221978050560 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 221978050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464342467680).

221978050560 is an abundant number, since it is smaller than the sum of its proper divisors (706706884800).

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

221978050560 is an frugal number, since it uses more digits than its factorization.

221978050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 221978050560 in words is "two hundred twenty-one billion, nine hundred seventy-eight million, fifty thousand, five hundred sixty".