221135273209760 has 384 divisors, whose sum is σ = 659255650099200. Its totient is φ = 68222097248256.

The previous prime is 221135273209757. The next prime is 221135273209787. The reversal of 221135273209760 is 67902372531122.

It is a junction number, because it is equal to n+sod(n) for n = 221135273209699 and 221135273209708.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314567141 + ... + 315269339.

It is an arithmetic number, because the mean of its divisors is an integer number (1716811588800).

Almost surely, 2^{221135273209760} is an apocalyptic number.

221135273209760 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 221135273209760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329627825049600).

221135273209760 is an abundant number, since it is smaller than the sum of its proper divisors (438120376889440).

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

221135273209760 is a wasteful number, since it uses less digits than its factorization.

221135273209760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702780 (or 702772 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 221135273209760 in words is "two hundred twenty-one trillion, one hundred thirty-five billion, two hundred seventy-three million, two hundred nine thousand, seven hundred sixty".