8212889091888 has 480 divisors, whose sum is σ = 25748751974400. Its totient is φ = 2427491026944.

The previous prime is 8212889091851. The next prime is 8212889091899. The reversal of 8212889091888 is 8881909882128.

It is a happy number.

8212889091888 is a `hidden beast` number, since 82 + 1 + 288 + 90 + 9 + 188 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6421335633 + ... + 6421336911.

It is an arithmetic number, because the mean of its divisors is an integer number (53643233280).

Almost surely, 2^{8212889091888} 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 8212889091888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874375987200).

8212889091888 is an abundant number, since it is smaller than the sum of its proper divisors (17535862882512).

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

8212889091888 is a wasteful number, since it uses less digits than its factorization.

8212889091888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 72.

The spelling of 8212889091888 in words is "eight trillion, two hundred twelve billion, eight hundred eighty-nine million, ninety-one thousand, eight hundred eighty-eight".