82000429056 has 900 divisors, whose sum is σ = 310063766628. Its totient is φ = 21403533312.

The previous prime is 82000429001. The next prime is 82000429057. The reversal of 82000429056 is 65092400028.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23475142656 + 58525286400 = 153216^2 + 241920^2 .

It is a super-2 number, since 2×82000429056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82000429056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000429057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 845365200 + ... + 845365296.

Almost surely, 2^82000429056 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 82000429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155031883314).

82000429056 is an abundant number, since it is smaller than the sum of its proper divisors (228063337572).

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

82000429056 is an equidigital number, since it uses as much as digits as its factorization.

82000429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 82000429056 in words is "eighty-two billion, four hundred twenty-nine thousand, fifty-six".