221089508640 has 3072 divisors, whose sum is σ = 1126611763200. Its totient is φ = 39016857600.

The previous prime is 221089508603. The next prime is 221089508657. The reversal of 221089508640 is 46805980122.

221089508640 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 89 + 508 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5141616459 + ... + 5141616501.

It is an arithmetic number, because the mean of its divisors is an integer number (366735600).

Almost surely, 2^221089508640 is an apocalyptic number.

221089508640 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 221089508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563305881600).

221089508640 is an abundant number, since it is smaller than the sum of its proper divisors (905522254560).

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

221089508640 is a wasteful number, since it uses less digits than its factorization.

221089508640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 221089508640 in words is "two hundred twenty-one billion, eighty-nine million, five hundred eight thousand, six hundred forty".