221109980474880 has 1440 divisors, whose sum is σ = 916631684201376. Its totient is φ = 49078524837888.

The previous prime is 221109980474857. The next prime is 221109980474899. The reversal of 221109980474880 is 88474089901122.

221109980474880 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 0 + 9 + 9 + 80 + 474 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×221109980474880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22849016602 + ... + 22849026278.

Almost surely, 2^{221109980474880} is an apocalyptic number.

221109980474880 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 221109980474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458315842100688).

221109980474880 is an abundant number, since it is smaller than the sum of its proper divisors (695521703726496).

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

221109980474880 is a wasteful number, since it uses less digits than its factorization.

221109980474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 221109980474880 in words is "two hundred twenty-one trillion, one hundred nine billion, nine hundred eighty million, four hundred seventy-four thousand, eight hundred eighty".