221079045058560 has 1248 divisors, whose sum is σ = 843689240459520. Its totient is φ = 53216190922752.

The previous prime is 221079045058427. The next prime is 221079045058603. The reversal of 221079045058560 is 65850540970122.

221079045058560 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 7 + 9 + 0 + 4 + 50 + 585 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 221079045058497 and 221079045058506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22315433127 + ... + 22315443033.

It is an arithmetic number, because the mean of its divisors is an integer number (676033045240).

Almost surely, 2^{221079045058560} is an apocalyptic number.

221079045058560 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 221079045058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421844620229760).

221079045058560 is an abundant number, since it is smaller than the sum of its proper divisors (622610195400960).

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

221079045058560 is a wasteful number, since it uses less digits than its factorization.

221079045058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161 (or 10136 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 221079045058560 in words is "two hundred twenty-one trillion, seventy-nine billion, forty-five million, fifty-eight thousand, five hundred sixty".