82299305088 has 1536 divisors, whose sum is σ = 346448793600. Its totient is φ = 18053038080.

The previous prime is 82299305069. The next prime is 82299305113. The reversal of 82299305088 is 88050399228.

82299305088 is a `hidden beast` number, since 82 + 29 + 9 + 30 + 508 + 8 = 666.

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 191 ways as a sum of consecutive naturals, for example, 769152331 + ... + 769152437.

It is an arithmetic number, because the mean of its divisors is an integer number (225552600).

Almost surely, 2^82299305088 is an apocalyptic number.

82299305088 is a gapful number since it is divisible by the number (88) 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 82299305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173224396800).

82299305088 is an abundant number, since it is smaller than the sum of its proper divisors (264149488512).

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

82299305088 is a wasteful number, since it uses less digits than its factorization.

82299305088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 82299305088 in words is "eighty-two billion, two hundred ninety-nine million, three hundred five thousand, eighty-eight".