210211827840 has 384 divisors, whose sum is σ = 840961929600. Its totient is φ = 47389556736.

The previous prime is 210211827797. The next prime is 210211827877. The reversal of 210211827840 is 48728112012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 210211827795 and 210211827804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2907651 + ... + 2979069.

It is an arithmetic number, because the mean of its divisors is an integer number (2190005025).

Almost surely, 2^210211827840 is an apocalyptic number.

210211827840 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 210211827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420480964800).

210211827840 is an abundant number, since it is smaller than the sum of its proper divisors (630750101760).

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

210211827840 is a wasteful number, since it uses less digits than its factorization.

210211827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71524 (or 71509 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 210211827840 its reverse (48728112012), we get a palindrome (258939939852).

The spelling of 210211827840 in words is "two hundred ten billion, two hundred eleven million, eight hundred twenty-seven thousand, eight hundred forty".