82291023584 has 96 divisors (see below), whose sum is σ = 203657110272. Its totient is φ = 32061321600.

The previous prime is 82291023569. The next prime is 82291023637. The reversal of 82291023584 is 48532019228.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160139 + ... + 436149.

It is an arithmetic number, because the mean of its divisors is an integer number (2121428232).

Almost surely, 2^82291023584 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 82291023584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101828555136).

82291023584 is an abundant number, since it is smaller than the sum of its proper divisors (121366086688).

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

82291023584 is a wasteful number, since it uses less digits than its factorization.

82291023584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276061 (or 276031 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 82291023584 in words is "eighty-two billion, two hundred ninety-one million, twenty-three thousand, five hundred eighty-four".