825807708768 has 96 divisors (see below), whose sum is σ = 2544380584704. Its totient is φ = 229568159232.

The previous prime is 825807708743. The next prime is 825807708769. The reversal of 825807708768 is 867807708528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 825807708699 and 825807708708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825807708769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16581630 + ... + 16631357.

It is an arithmetic number, because the mean of its divisors is an integer number (26503964424).

Almost surely, 2^825807708768 is an apocalyptic number.

It is an amenable number.

825807708768 is an abundant number, since it is smaller than the sum of its proper divisors (1718572875936).

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

825807708768 is a wasteful number, since it uses less digits than its factorization.

825807708768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33213044 (or 33213036 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 66.

The spelling of 825807708768 in words is "eight hundred twenty-five billion, eight hundred seven million, seven hundred eight thousand, seven hundred sixty-eight".