211242200832 has 576 divisors, whose sum is σ = 688322396160. Its totient is φ = 63513870336.

The previous prime is 211242200801. The next prime is 211242200861. The reversal of 211242200832 is 238002242112.

211242200832 is a `hidden beast` number, since 211 + 242 + 200 + 8 + 3 + 2 = 666.

211242200832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 211242200796 and 211242200805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221053098 + ... + 1221053270.

It is an arithmetic number, because the mean of its divisors is an integer number (1195004160).

Almost surely, 2^211242200832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211242200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344161198080).

211242200832 is an abundant number, since it is smaller than the sum of its proper divisors (477080195328).

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

211242200832 is a wasteful number, since it uses less digits than its factorization.

211242200832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211242200832 its reverse (238002242112), we get a palindrome (449244442944).

The spelling of 211242200832 in words is "two hundred eleven billion, two hundred forty-two million, two hundred thousand, eight hundred thirty-two".