221161430880 has 432 divisors, whose sum is σ = 821961438480. Its totient is φ = 54124941312.

The previous prime is 221161430879. The next prime is 221161430921. The reversal of 221161430880 is 88034161122.

221161430880 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 614 + 30 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43558902 + ... + 43563978.

It is an arithmetic number, because the mean of its divisors is an integer number (1902688515).

Almost surely, 2^221161430880 is an apocalyptic number.

221161430880 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 221161430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410980719240).

221161430880 is an abundant number, since it is smaller than the sum of its proper divisors (600800007600).

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

221161430880 is a wasteful number, since it uses less digits than its factorization.

221161430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 221161430880 in words is "two hundred twenty-one billion, one hundred sixty-one million, four hundred thirty thousand, eight hundred eighty".