825268328892 has 36 divisors (see below), whose sum is σ = 2384108506416. Its totient is φ = 235790951040.

The previous prime is 825268328891. The next prime is 825268328903. The reversal of 825268328892 is 298823862528.

825268328892 is a `hidden beast` number, since 8 + 2 + 5 + 268 + 3 + 288 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825268328891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1637436909 + ... + 1637437412.

Almost surely, 2^825268328892 is an apocalyptic number.

It is an amenable number.

825268328892 is an abundant number, since it is smaller than the sum of its proper divisors (1558840177524).

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

825268328892 is a wasteful number, since it uses less digits than its factorization.

825268328892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274874338 (or 3274874333 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 825268328892 in words is "eight hundred twenty-five billion, two hundred sixty-eight million, three hundred twenty-eight thousand, eight hundred ninety-two".