825870632448 has 320 divisors, whose sum is σ = 2429320227840. Its totient is φ = 248338317312.

The previous prime is 825870632441. The next prime is 825870632491. The reversal of 825870632448 is 844236078528.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825870632441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50742840 + ... + 50759112.

It is an arithmetic number, because the mean of its divisors is an integer number (7591625712).

Almost surely, 2^825870632448 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 825870632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214660113920).

825870632448 is an abundant number, since it is smaller than the sum of its proper divisors (1603449595392).

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

825870632448 is a wasteful number, since it uses less digits than its factorization.

825870632448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16397 (or 16381 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 825870632448 in words is "eight hundred twenty-five billion, eight hundred seventy million, six hundred thirty-two thousand, four hundred forty-eight".