8428385085120 has 2688 divisors, whose sum is σ = 42408485038080. Its totient is φ = 1546089431040.

The previous prime is 8428385085103. The next prime is 8428385085151. The reversal of 8428385085120 is 215805838248.

8428385085120 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 3 + 8 + 508 + 5 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1392428014 + ... + 1392434066.

It is an arithmetic number, because the mean of its divisors is an integer number (15776966160).

Almost surely, 2^{8428385085120} is an apocalyptic number.

8428385085120 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 8428385085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204242519040).

8428385085120 is an abundant number, since it is smaller than the sum of its proper divisors (33980099952960).

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

8428385085120 is a wasteful number, since it uses less digits than its factorization.

8428385085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 8428385085120 in words is "eight trillion, four hundred twenty-eight billion, three hundred eighty-five million, eighty-five thousand, one hundred twenty".