82865826456 has 128 divisors (see below), whose sum is σ = 244694630400. Its totient is φ = 22884301440.

The previous prime is 82865826401. The next prime is 82865826467. The reversal of 82865826456 is 65462856828.

It is a self number, because there is not a number n which added to its sum of digits gives 82865826456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4464411 + ... + 4482933.

It is an arithmetic number, because the mean of its divisors is an integer number (1911676800).

Almost surely, 2^82865826456 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 82865826456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122347315200).

82865826456 is an abundant number, since it is smaller than the sum of its proper divisors (161828803944).

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

82865826456 is a wasteful number, since it uses less digits than its factorization.

82865826456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19429 (or 19425 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 60.

The spelling of 82865826456 in words is "eighty-two billion, eight hundred sixty-five million, eight hundred twenty-six thousand, four hundred fifty-six".