221058672640 has 288 divisors, whose sum is σ = 587551550040. Its totient is φ = 79350202368.

The previous prime is 221058672587. The next prime is 221058672671. The reversal of 221058672640 is 46276850122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 18140857344 + 202917815296 = 134688^2 + 450464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182240674 + ... + 182241886.

Almost surely, 2^221058672640 is an apocalyptic number.

221058672640 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 221058672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293775775020).

221058672640 is an abundant number, since it is smaller than the sum of its proper divisors (366492877400).

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

221058672640 is a wasteful number, since it uses less digits than its factorization.

221058672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 221058672640 in words is "two hundred twenty-one billion, fifty-eight million, six hundred seventy-two thousand, six hundred forty".