221389436882880 has 1680 divisors, whose sum is σ = 957628984790016. Its totient is φ = 48316955258880.

The previous prime is 221389436882863. The next prime is 221389436882927. The reversal of 221389436882880 is 88288634983122.

221389436882880 is a `hidden beast` number, since 2 + 2 + 1 + 38 + 9 + 436 + 8 + 82 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 221389436882799 and 221389436882808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17147343625 + ... + 17147356535.

Almost surely, 2^{221389436882880} is an apocalyptic number.

221389436882880 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 221389436882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478814492395008).

221389436882880 is an abundant number, since it is smaller than the sum of its proper divisors (736239547907136).

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

221389436882880 is a wasteful number, since it uses less digits than its factorization.

221389436882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13564 (or 13538 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 221389436882880 in words is "two hundred twenty-one trillion, three hundred eighty-nine billion, four hundred thirty-six million, eight hundred eighty-two thousand, eight hundred eighty".