825891441102 has 96 divisors (see below), whose sum is σ = 2204635672512. Its totient is φ = 217594156032.

The previous prime is 825891441043. The next prime is 825891441113. The reversal of 825891441102 is 201144198528.

825891441102 is a `hidden beast` number, since 8 + 2 + 589 + 14 + 41 + 10 + 2 = 666.

825891441102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1342288 + ... + 1858364.

It is an arithmetic number, because the mean of its divisors is an integer number (22964954922).

Almost surely, 2^825891441102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825891441102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102317836256).

825891441102 is an abundant number, since it is smaller than the sum of its proper divisors (1378744231410).

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

825891441102 is a wasteful number, since it uses less digits than its factorization.

825891441102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517082 (or 517079 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 825891441102 in words is "eight hundred twenty-five billion, eight hundred ninety-one million, four hundred forty-one thousand, one hundred two".