8180094000000 has 1792 divisors, whose sum is σ = 32129588736000. Its totient is φ = 1824768000000.

The previous prime is 8180093999953. The next prime is 8180094000151. The reversal of 8180094000000 is 4900818.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41105999901 + ... + 41106000099.

It is an arithmetic number, because the mean of its divisors is an integer number (17929458000).

Almost surely, 2^{8180094000000} is an apocalyptic number.

8180094000000 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 8180094000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064794368000).

8180094000000 is an abundant number, since it is smaller than the sum of its proper divisors (23949494736000).

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

8180094000000 is a wasteful number, since it uses less digits than its factorization.

8180094000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 8180094000000 its reverse (4900818), we get a palindrome (8180098900818).

The spelling of 8180094000000 in words is "eight trillion, one hundred eighty billion, ninety-four million", and thus it is an aban number.