820029545082 has 96 divisors (see below), whose sum is σ = 1965856628736. Its totient is φ = 244976378400.

The previous prime is 820029545053. The next prime is 820029545119. The reversal of 820029545082 is 280545920028.

820029545082 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 29 + 545 + 0 + 82 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4457707 + ... + 4638017.

It is an arithmetic number, because the mean of its divisors is an integer number (20477673216).

Almost surely, 2^820029545082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820029545082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982928314368).

820029545082 is an abundant number, since it is smaller than the sum of its proper divisors (1145827083654).

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

820029545082 is a wasteful number, since it uses less digits than its factorization.

820029545082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180656 (or 180653 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 820029545082 in words is "eight hundred twenty billion, twenty-nine million, five hundred forty-five thousand, eighty-two".