82582665480 has 672 divisors, whose sum is σ = 335416123800. Its totient is φ = 18215995392.

The previous prime is 82582665457. The next prime is 82582665491. The reversal of 82582665480 is 8456628528.

It is a happy number.

82582665480 is a `hidden beast` number, since 8 + 2 + 582 + 6 + 6 + 54 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73865455524 + 8717209956 = 271782^2 + 93366^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 41435364 + ... + 41437356.

Almost surely, 2^82582665480 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 82582665480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167708061900).

82582665480 is an abundant number, since it is smaller than the sum of its proper divisors (252833458320).

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

82582665480 is a wasteful number, since it uses less digits than its factorization.

82582665480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 82582665480 in words is "eighty-two billion, five hundred eighty-two million, six hundred sixty-five thousand, four hundred eighty".