825479941675752 has 768 divisors, whose sum is σ = 2568467289024000. Its totient is φ = 245430839808000.

The previous prime is 825479941675709. The next prime is 825479941675777. The reversal of 825479941675752 is 257576149974528.

825479941675752 is a `hidden beast` number, since 8 + 2 + 5 + 47 + 99 + 416 + 7 + 5 + 75 + 2 = 666.

825479941675752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136918215874 + ... + 136918221902.

It is an arithmetic number, because the mean of its divisors is an integer number (3344358449250).

Almost surely, 2^{825479941675752} 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 825479941675752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284233644512000).

825479941675752 is an abundant number, since it is smaller than the sum of its proper divisors (1742987347348248).

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

825479941675752 is a wasteful number, since it uses less digits than its factorization.

825479941675752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6610 counting only the distinct ones).

The product of its digits is 10668672000, while the sum is 81.

The spelling of 825479941675752 in words is "eight hundred twenty-five trillion, four hundred seventy-nine billion, nine hundred forty-one million, six hundred seventy-five thousand, seven hundred fifty-two".