825426020624528 has 80 divisors (see below), whose sum is σ = 1745620667620800. Its totient is φ = 376612118023680.

The previous prime is 825426020624489. The next prime is 825426020624549.

It is a happy number.

825426020624528 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107485826 + ... + 114908897.

It is an arithmetic number, because the mean of its divisors is an integer number (21820258345260).

Almost surely, 2^{825426020624528} is an apocalyptic number.

It is an amenable number.

825426020624528 is an abundant number, since it is smaller than the sum of its proper divisors (920194646996272).

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

825426020624528 is a wasteful number, since it uses less digits than its factorization.

825426020624528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222395200 (or 222395194 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 56.

The spelling of 825426020624528 in words is "eight hundred twenty-five trillion, four hundred twenty-six billion, twenty million, six hundred twenty-four thousand, five hundred twenty-eight".