8094135557760 has 512 divisors, whose sum is σ = 30365891297280. Its totient is φ = 1795140403200.

The previous prime is 8094135557689. The next prime is 8094135557777. The reversal of 8094135557760 is 677555314908.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8094135557694 and 8094135557703.

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 63 ways as a sum of consecutive naturals, for example, 182479585 + ... + 182523935.

It is an arithmetic number, because the mean of its divisors is an integer number (59308381440).

Almost surely, 2^{8094135557760} is an apocalyptic number.

8094135557760 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 8094135557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182945648640).

8094135557760 is an abundant number, since it is smaller than the sum of its proper divisors (22271755739520).

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

8094135557760 is a wasteful number, since it uses less digits than its factorization.

8094135557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44784 (or 44772 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 8094135557760 in words is "eight trillion, ninety-four billion, one hundred thirty-five million, five hundred fifty-seven thousand, seven hundred sixty".