8211252420 has 288 divisors, whose sum is σ = 31282876800. Its totient is φ = 1777966848.

The previous prime is 8211252377. The next prime is 8211252449. The reversal of 8211252420 is 242521128.

8211252420 is a `hidden beast` number, since 8 + 2 + 112 + 524 + 20 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 494574 + ... + 510906.

It is an arithmetic number, because the mean of its divisors is an integer number (108621100).

Almost surely, 2^8211252420 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 8211252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641438400).

8211252420 is an abundant number, since it is smaller than the sum of its proper divisors (23071624380).

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

8211252420 is a wasteful number, since it uses less digits than its factorization.

8211252420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16384 (or 16369 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8211252420 is about 90615.9611768258. The cubic root of 8211252420 is about 2017.4516454463.

Adding to 8211252420 its reverse (242521128), we get a palindrome (8453773548).

The spelling of 8211252420 in words is "eight billion, two hundred eleven million, two hundred fifty-two thousand, four hundred twenty".