825074339220 has 192 divisors, whose sum is σ = 2719379174400. Its totient is φ = 206964172800.

The previous prime is 825074339209. The next prime is 825074339227. The reversal of 825074339220 is 22933470528.

825074339220 is a `hidden beast` number, since 8 + 2 + 507 + 4 + 33 + 92 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825074339227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17427541 + ... + 17474819.

It is an arithmetic number, because the mean of its divisors is an integer number (14163433200).

Almost surely, 2^825074339220 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 825074339220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359689587200).

825074339220 is an abundant number, since it is smaller than the sum of its proper divisors (1894304835180).

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

825074339220 is a wasteful number, since it uses less digits than its factorization.

825074339220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49215 (or 49207 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 825074339220 in words is "eight hundred twenty-five billion, seventy-four million, three hundred thirty-nine thousand, two hundred twenty".