211711208040 has 288 divisors, whose sum is σ = 738516074400. Its totient is φ = 52576508160.

The previous prime is 211711208029. The next prime is 211711208077. The reversal of 211711208040 is 40802117112.

It is a junction number, because it is equal to n+sod(n) for n = 211711207995 and 211711208013.

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, 7653835 + ... + 7681445.

It is an arithmetic number, because the mean of its divisors is an integer number (2564291925).

Almost surely, 2^211711208040 is an apocalyptic number.

211711208040 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 211711208040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369258037200).

211711208040 is an abundant number, since it is smaller than the sum of its proper divisors (526804866360).

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

211711208040 is a wasteful number, since it uses less digits than its factorization.

211711208040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27725 (or 27699 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 211711208040 in words is "two hundred eleven billion, seven hundred eleven million, two hundred eight thousand, forty".