221277688894080 has 3840 divisors, whose sum is σ = 1050635084083200. Its totient is φ = 43865872662528.

The previous prime is 221277688894057. The next prime is 221277688894121. The reversal of 221277688894080 is 80498886772122.

221277688894080 is a `hidden beast` number, since 2 + 2 + 12 + 77 + 68 + 8 + 89 + 408 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 79682277652 + ... + 79682280428.

It is an arithmetic number, because the mean of its divisors is an integer number (273602886480).

Almost surely, 2^{221277688894080} is an apocalyptic number.

221277688894080 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 221277688894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525317542041600).

221277688894080 is an abundant number, since it is smaller than the sum of its proper divisors (829357395189120).

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

221277688894080 is a wasteful number, since it uses less digits than its factorization.

221277688894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 221277688894080 in words is "two hundred twenty-one trillion, two hundred seventy-seven billion, six hundred eighty-eight million, eight hundred ninety-four thousand, eighty".