82297004160 has 512 divisors, whose sum is σ = 306473932800. Its totient is φ = 18396905472.

The previous prime is 82297004159. The next prime is 82297004197. The reversal of 82297004160 is 6140079228.

It is a super-2 number, since 2×82297004160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127988799 + ... + 127989441.

It is an arithmetic number, because the mean of its divisors is an integer number (598581900).

Almost surely, 2^82297004160 is an apocalyptic number.

82297004160 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 82297004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153236966400).

82297004160 is an abundant number, since it is smaller than the sum of its proper divisors (224176928640).

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

82297004160 is a wasteful number, since it uses less digits than its factorization.

82297004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 82297004160 in words is "eighty-two billion, two hundred ninety-seven million, four thousand, one hundred sixty".