8821411200 has 1152 divisors, whose sum is σ = 39461760000. Its totient is φ = 1869557760.

The previous prime is 8821411187. The next prime is 8821411201. The reversal of 8821411200 is 21141288.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8821411201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 187689577 + ... + 187689623.

It is an arithmetic number, because the mean of its divisors is an integer number (34255000).

Almost surely, 2^8821411200 is an apocalyptic number.

8821411200 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 8821411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880000).

8821411200 is an abundant number, since it is smaller than the sum of its proper divisors (30640348800).

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

8821411200 is a wasteful number, since it uses less digits than its factorization.

8821411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8821411200 is about 93922.3679428921. The cubic root of 8821411200 is about 2066.2332956490.

Adding to 8821411200 its reverse (21141288), we get a palindrome (8842552488).

It can be divided in two parts, 882 and 1411200, that multiplied together give a square (1244678400 = 35280²).

The spelling of 8821411200 in words is "eight billion, eight hundred twenty-one million, four hundred eleven thousand, two hundred".