211006540800 has 396 divisors, whose sum is σ = 824195253336. Its totient is φ = 51152486400.

The previous prime is 211006540799. The next prime is 211006540831. The reversal of 211006540800 is 8045600112.

211006540800 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 0 + 654 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2492772 + ... + 2576028.

Almost surely, 2^211006540800 is an apocalyptic number.

211006540800 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 211006540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412097626668).

211006540800 is an abundant number, since it is smaller than the sum of its proper divisors (613188712536).

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

211006540800 is a wasteful number, since it uses less digits than its factorization.

211006540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83304 (or 83278 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 211006540800 in words is "two hundred eleven billion, six million, five hundred forty thousand, eight hundred".