82532308320 has 768 divisors, whose sum is σ = 367873228800. Its totient is φ = 16781506560.

The previous prime is 82532308307. The next prime is 82532308421. The reversal of 82532308320 is 2380323528.

It is a happy number.

82532308320 is a `hidden beast` number, since 8 + 2 + 5 + 323 + 0 + 8 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15631441 + ... + 15636719.

It is an arithmetic number, because the mean of its divisors is an integer number (479001600).

Almost surely, 2^82532308320 is an apocalyptic number.

82532308320 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 82532308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183936614400).

82532308320 is an abundant number, since it is smaller than the sum of its proper divisors (285340920480).

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

82532308320 is a wasteful number, since it uses less digits than its factorization.

82532308320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 82532308320 in words is "eighty-two billion, five hundred thirty-two million, three hundred eight thousand, three hundred twenty".