8211456000 has 784 divisors, whose sum is σ = 33521190768. Its totient is φ = 1990656000.

The previous prime is 8211455977. The next prime is 8211456017. The reversal of 8211456000 is 6541128.

8211456000 is a `hidden beast` number, since 8 + 2 + 11 + 45 + 600 + 0 = 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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 746495995 + ... + 746496005.

Almost surely, 2^8211456000 is an apocalyptic number.

8211456000 is a gapful number since it is divisible by the number (80) 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 8211456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760595384).

8211456000 is an abundant number, since it is smaller than the sum of its proper divisors (25309734768).

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

8211456000 is an frugal number, since it uses more digits than its factorization.

8211456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

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

The square root of 8211456000 is about 90617.0844819011. The cubic root of 8211456000 is about 2017.4683180719.

Adding to 8211456000 its reverse (6541128), we get a palindrome (8217997128).

The spelling of 8211456000 in words is "eight billion, two hundred eleven million, four hundred fifty-six thousand".