8110661328000 has 4096 divisors, whose sum is σ = 40290711552000. Its totient is φ = 1552711680000.

The previous prime is 8110661327999. The next prime is 8110661328037. The reversal of 8110661328000 is 8231660118.

8110661328000 is a `hidden beast` number, since 8 + 1 + 10 + 6 + 613 + 28 + 0 + 0 + 0 = 666.

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

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 511 ways as a sum of consecutive naturals, for example, 25912655844 + ... + 25912656156.

It is an arithmetic number, because the mean of its divisors is an integer number (9836599500).

Almost surely, 2^{8110661328000} is an apocalyptic number.

8110661328000 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 8110661328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145355776000).

8110661328000 is an abundant number, since it is smaller than the sum of its proper divisors (32180050224000).

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

8110661328000 is a wasteful number, since it uses less digits than its factorization.

8110661328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 8110661328000 its reverse (8231660118), we get a palindrome (8118892988118).

The spelling of 8110661328000 in words is "eight trillion, one hundred ten billion, six hundred sixty-one million, three hundred twenty-eight thousand".