211104680220 has 384 divisors, whose sum is σ = 775423488000. Its totient is φ = 48249069120.

The previous prime is 211104680197. The next prime is 211104680233. The reversal of 211104680220 is 22086401112.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 14995785 + ... + 15009855.

It is an arithmetic number, because the mean of its divisors is an integer number (2019332000).

Almost surely, 2^211104680220 is an apocalyptic number.

211104680220 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 211104680220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387711744000).

211104680220 is an abundant number, since it is smaller than the sum of its proper divisors (564318807780).

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

211104680220 is an equidigital number, since it uses as much as digits as its factorization.

211104680220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14122 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 211104680220 in words is "two hundred eleven billion, one hundred four million, six hundred eighty thousand, two hundred twenty".