82266199008 has 192 divisors, whose sum is σ = 253763693568. Its totient is φ = 22842777600.

The previous prime is 82266198997. The next prime is 82266199051. The reversal of 82266199008 is 80099166228.

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, 32247333 + ... + 32249883.

It is an arithmetic number, because the mean of its divisors is an integer number (1321685904).

Almost surely, 2^82266199008 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 82266199008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126881846784).

82266199008 is an abundant number, since it is smaller than the sum of its proper divisors (171497494560).

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

82266199008 is a wasteful number, since it uses less digits than its factorization.

82266199008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 82266199008 in words is "eighty-two billion, two hundred sixty-six million, one hundred ninety-nine thousand, eight".