221327486960 has 40 divisors (see below), whose sum is σ = 524295594720. Its totient is φ = 86860596992.

The previous prime is 221327486873. The next prime is 221327486971. The reversal of 221327486960 is 69684723122.

221327486960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×221327486960³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221327486899 and 221327486908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26095700 + ... + 26104179.

It is an arithmetic number, because the mean of its divisors is an integer number (13107389868).

Almost surely, 2^221327486960 is an apocalyptic number.

221327486960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221327486960 is an abundant number, since it is smaller than the sum of its proper divisors (302968107760).

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

221327486960 is a wasteful number, since it uses less digits than its factorization.

221327486960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52199945 (or 52199939 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 221327486960 in words is "two hundred twenty-one billion, three hundred twenty-seven million, four hundred eighty-six thousand, nine hundred sixty".