8286020893920 has 1152 divisors, whose sum is σ = 34784138188800. Its totient is φ = 1617344593920.

The previous prime is 8286020893879. The next prime is 8286020893921. The reversal of 8286020893920 is 293980206828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8286020893921) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 5314958101 + ... + 5314959659.

It is an arithmetic number, because the mean of its divisors is an integer number (30194564400).

Almost surely, 2^{8286020893920} is an apocalyptic number.

8286020893920 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 8286020893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392069094400).

8286020893920 is an abundant number, since it is smaller than the sum of its proper divisors (26498117294880).

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

8286020893920 is a wasteful number, since it uses less digits than its factorization.

8286020893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 8286020893920 in words is "eight trillion, two hundred eighty-six billion, twenty million, eight hundred ninety-three thousand, nine hundred twenty".