8035485696000 has 2880 divisors, whose sum is σ = 35724313497600. Its totient is φ = 1734082560000.

The previous prime is 8035485695971. The next prime is 8035485696019. The reversal of 8035485696000 is 6965845308.

It is a happy number.

8035485696000 is a `hidden beast` number, since 8 + 0 + 3 + 548 + 5 + 6 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195987455980 + ... + 195987456020.

It is an arithmetic number, because the mean of its divisors is an integer number (12404275520).

Almost surely, 2^{8035485696000} is an apocalyptic number.

8035485696000 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 8035485696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862156748800).

8035485696000 is an abundant number, since it is smaller than the sum of its proper divisors (27688827801600).

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

8035485696000 is an equidigital number, since it uses as much as digits as its factorization.

8035485696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 8035485696000 in words is "eight trillion, thirty-five billion, four hundred eighty-five million, six hundred ninety-six thousand".