82862299520 has 512 divisors, whose sum is σ = 267667061760. Its totient is φ = 23688806400.

The previous prime is 82862299469. The next prime is 82862299549. The reversal of 82862299520 is 2599226828.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135174734 + ... + 135175346.

It is an arithmetic number, because the mean of its divisors is an integer number (522787230).

Almost surely, 2^82862299520 is an apocalyptic number.

82862299520 is a gapful number since it is divisible by the number (80) 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 82862299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133833530880).

82862299520 is an abundant number, since it is smaller than the sum of its proper divisors (184804762240).

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

82862299520 is a wasteful number, since it uses less digits than its factorization.

82862299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 82862299520 in words is "eighty-two billion, eight hundred sixty-two million, two hundred ninety-nine thousand, five hundred twenty".