8295834220128 has 768 divisors, whose sum is σ = 30783541985280. Its totient is φ = 2114375270400.

The previous prime is 8295834220081. The next prime is 8295834220133. The reversal of 8295834220128 is 8210224385928.

8295834220128 is a `hidden beast` number, since 8 + 2 + 9 + 583 + 42 + 2 + 0 + 12 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2137548748 + ... + 2137552628.

It is an arithmetic number, because the mean of its divisors is an integer number (40082736960).

Almost surely, 2^{8295834220128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8295834220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391770992640).

8295834220128 is an abundant number, since it is smaller than the sum of its proper divisors (22487707765152).

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

8295834220128 is a wasteful number, since it uses less digits than its factorization.

8295834220128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 8295834220128 in words is "eight trillion, two hundred ninety-five billion, eight hundred thirty-four million, two hundred twenty thousand, one hundred twenty-eight".