82825120224 has 432 divisors, whose sum is σ = 303032424240. Its totient is φ = 21215416320.

The previous prime is 82825120199. The next prime is 82825120237. The reversal of 82825120224 is 42202152828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11328282 + ... + 11335590.

It is an arithmetic number, because the mean of its divisors is an integer number (701463945).

Almost surely, 2^82825120224 is an apocalyptic number.

82825120224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82825120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151516212120).

82825120224 is an abundant number, since it is smaller than the sum of its proper divisors (220207304016).

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

82825120224 is a wasteful number, since it uses less digits than its factorization.

82825120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7423 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 82825120224 in words is "eighty-two billion, eight hundred twenty-five million, one hundred twenty thousand, two hundred twenty-four".