8025628265208 has 128 divisors (see below), whose sum is σ = 22527708456000. Its totient is φ = 2647158796800.

The previous prime is 8025628265153. The next prime is 8025628265209.

8025628265208 is a `hidden beast` number, since 8 + 0 + 2 + 5 + 628 + 2 + 6 + 5 + 2 + 0 + 8 = 666.

8025628265208 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8025628265209) 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 31 ways as a sum of consecutive naturals, for example, 17597658 + ... + 18047958.

Almost surely, 2^{8025628265208} 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 8025628265208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11263854228000).

8025628265208 is an abundant number, since it is smaller than the sum of its proper divisors (14502080190792).

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

8025628265208 is a wasteful number, since it uses less digits than its factorization.

8025628265208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451182 (or 451172 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 8025628265208 in words is "eight trillion, twenty-five billion, six hundred twenty-eight million, two hundred sixty-five thousand, two hundred eight".