825221342826 has 128 divisors (see below), whose sum is σ = 1950566400000. Its totient is φ = 257879142720.

The previous prime is 825221342809. The next prime is 825221342843. The reversal of 825221342826 is 628243122528.

825221342826 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 213 + 428 + 2 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (825221342809) and next prime (825221342843).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41418895 + ... + 41438813.

It is an arithmetic number, because the mean of its divisors is an integer number (15238800000).

Almost surely, 2^825221342826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825221342826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975283200000).

825221342826 is an abundant number, since it is smaller than the sum of its proper divisors (1125345057174).

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

825221342826 is a wasteful number, since it uses less digits than its factorization.

825221342826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20369 (or 20363 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 825221342826 in words is "eight hundred twenty-five billion, two hundred twenty-one million, three hundred forty-two thousand, eight hundred twenty-six".