82287810074232 has 256 divisors, whose sum is σ = 275010894720000. Its totient is φ = 22270901944320.

The previous prime is 82287810074201. The next prime is 82287810074287. The reversal of 82287810074232 is 23247001878228.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 264400632 + ... + 264711672.

It is an arithmetic number, because the mean of its divisors is an integer number (1074261307500).

Almost surely, 2^{82287810074232} 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 82287810074232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137505447360000).

82287810074232 is an abundant number, since it is smaller than the sum of its proper divisors (192723084645768).

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

82287810074232 is a wasteful number, since it uses less digits than its factorization.

82287810074232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320291 (or 320281 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 82287810074232 in words is "eighty-two trillion, two hundred eighty-seven billion, eight hundred ten million, seventy-four thousand, two hundred thirty-two".