221876642880 has 448 divisors, whose sum is σ = 844949491200. Its totient is φ = 54641664000.

The previous prime is 221876642807. The next prime is 221876642881. The reversal of 221876642880 is 88246678122.

221876642880 is a `hidden beast` number, since 2 + 2 + 1 + 87 + 66 + 428 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (221876642881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5743630 + ... + 5782130.

Almost surely, 2^221876642880 is an apocalyptic number.

221876642880 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 221876642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422474745600).

221876642880 is an abundant number, since it is smaller than the sum of its proper divisors (623072848320).

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

221876642880 is a wasteful number, since it uses less digits than its factorization.

221876642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38579 (or 38563 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 221876642880 in words is "two hundred twenty-one billion, eight hundred seventy-six million, six hundred forty-two thousand, eight hundred eighty".