82009028160 has 672 divisors, whose sum is σ = 328143778560. Its totient is φ = 18646695936.

The previous prime is 82009028111. The next prime is 82009028161. The reversal of 82009028160 is 6182090028.

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

It is not an unprimeable number, because it can be changed into a prime (82009028161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21393604 + ... + 21397436.

Almost surely, 2^82009028160 is an apocalyptic number.

82009028160 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 82009028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164071889280).

82009028160 is an abundant number, since it is smaller than the sum of its proper divisors (246134750400).

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

82009028160 is a wasteful number, since it uses less digits than its factorization.

82009028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 82009028160 in words is "eighty-two billion, nine million, twenty-eight thousand, one hundred sixty".