82132596480 has 576 divisors, whose sum is σ = 293488312320. Its totient is φ = 19408896000.

The previous prime is 82132596463. The next prime is 82132596499. The reversal of 82132596480 is 8469523128.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503880879 + ... + 503881041.

It is an arithmetic number, because the mean of its divisors is an integer number (509528320).

Almost surely, 2^82132596480 is an apocalyptic number.

82132596480 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 82132596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146744156160).

82132596480 is an abundant number, since it is smaller than the sum of its proper divisors (211355715840).

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

82132596480 is a wasteful number, since it uses less digits than its factorization.

82132596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 82132596480 in words is "eighty-two billion, one hundred thirty-two million, five hundred ninety-six thousand, four hundred eighty".