82867044825792 has 1008 divisors, whose sum is σ = 263980857254400. Its totient is φ = 24827799306240.

The previous prime is 82867044825787. The next prime is 82867044825793. The reversal of 82867044825792 is 29752844076828.

82867044825792 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 7 + 0 + 4 + 48 + 2 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 82867044825792.

It is not an unprimeable number, because it can be changed into a prime (82867044825793) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100934280742 + ... + 100934281562.

Almost surely, 2^{82867044825792} 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 82867044825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131990428627200).

82867044825792 is an abundant number, since it is smaller than the sum of its proper divisors (181113812428608).

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

82867044825792 is a wasteful number, since it uses less digits than its factorization.

82867044825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 82867044825792 in words is "eighty-two trillion, eight hundred sixty-seven billion, forty-four million, eight hundred twenty-five thousand, seven hundred ninety-two".