211418491800 has 192 divisors, whose sum is σ = 661636224000. Its totient is φ = 55844167680.

The previous prime is 211418491799. The next prime is 211418491853. The reversal of 211418491800 is 8194814112.

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 47 ways as a sum of consecutive naturals, for example, 27672381 + ... + 27680019.

It is an arithmetic number, because the mean of its divisors is an integer number (3446022000).

Almost surely, 2^211418491800 is an apocalyptic number.

211418491800 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 211418491800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330818112000).

211418491800 is an abundant number, since it is smaller than the sum of its proper divisors (450217732200).

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

211418491800 is a wasteful number, since it uses less digits than its factorization.

211418491800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 211418491800 in words is "two hundred eleven billion, four hundred eighteen million, four hundred ninety-one thousand, eight hundred".