825141862700 has 72 divisors (see below), whose sum is σ = 1825983129600. Its totient is φ = 323557936960.

The previous prime is 825141862681. The next prime is 825141862711. The reversal of 825141862700 is 7268141528.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923317 + ... + 2312883.

It is an arithmetic number, because the mean of its divisors is an integer number (25360876800).

Almost surely, 2^825141862700 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 825141862700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912991564800).

825141862700 is an abundant number, since it is smaller than the sum of its proper divisors (1000841266900).

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

825141862700 is a wasteful number, since it uses less digits than its factorization.

825141862700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389999 (or 389992 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 825141862700 in words is "eight hundred twenty-five billion, one hundred forty-one million, eight hundred sixty-two thousand, seven hundred".