221166274560 has 1728 divisors, whose sum is σ = 973262122560. Its totient is φ = 42361159680.

The previous prime is 221166274507. The next prime is 221166274573. The reversal of 221166274560 is 65472661122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5977466862 + ... + 5977466898.

It is an arithmetic number, because the mean of its divisors is an integer number (563230395).

Almost surely, 2^221166274560 is an apocalyptic number.

221166274560 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 221166274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486631061280).

221166274560 is an abundant number, since it is smaller than the sum of its proper divisors (752095848000).

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

221166274560 is a wasteful number, since it uses less digits than its factorization.

221166274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 221166274560 in words is "two hundred twenty-one billion, one hundred sixty-six million, two hundred seventy-four thousand, five hundred sixty".