221107879681920 has 2048 divisors, whose sum is σ = 991585234944000. Its totient is φ = 45231685632000.

The previous prime is 221107879681907. The next prime is 221107879681939. The reversal of 221107879681920 is 29186978701122.

It is a super-2 number, since 2×221107879681920² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22703340411 + ... + 22703350149.

It is an arithmetic number, because the mean of its divisors is an integer number (484172478000).

Almost surely, 2^{221107879681920} is an apocalyptic number.

221107879681920 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 221107879681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495792617472000).

221107879681920 is an abundant number, since it is smaller than the sum of its proper divisors (770477355262080).

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

221107879681920 is a wasteful number, since it uses less digits than its factorization.

221107879681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 221107879681920 in words is "two hundred twenty-one trillion, one hundred seven billion, eight hundred seventy-nine million, six hundred eighty-one thousand, nine hundred twenty".