221275676213280 has 1152 divisors, whose sum is σ = 885869180292096. Its totient is φ = 49789491609600.

The previous prime is 221275676213191. The next prime is 221275676213281. The reversal of 221275676213280 is 82312676572122.

221275676213280 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 7 + 5 + 6 + 7 + 621 + 3 + 2 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (221275676213281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6723440025 + ... + 6723472935.

It is an arithmetic number, because the mean of its divisors is an integer number (768983663448).

Almost surely, 2^{221275676213280} is an apocalyptic number.

221275676213280 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 221275676213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442934590146048).

221275676213280 is an abundant number, since it is smaller than the sum of its proper divisors (664593504078816).

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

221275676213280 is a wasteful number, since it uses less digits than its factorization.

221275676213280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33570 (or 33559 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 221275676213280 in words is "two hundred twenty-one trillion, two hundred seventy-five billion, six hundred seventy-six million, two hundred thirteen thousand, two hundred eighty".