82625600320 has 28 divisors (see below), whose sum is σ = 196752211524. Its totient is φ = 33050240000.

The previous prime is 82625600303. The next prime is 82625600423. The reversal of 82625600320 is 2300652628.

It can be written as a sum of positive squares in 2 ways, for example, as 44703490624 + 37922109696 = 211432^2 + 194736^2 .

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 3 ways as a sum of consecutive naturals, for example, 129102181 + ... + 129102820.

Almost surely, 2^82625600320 is an apocalyptic number.

82625600320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82625600320 is an abundant number, since it is smaller than the sum of its proper divisors (114126611204).

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

82625600320 is a wasteful number, since it uses less digits than its factorization.

82625600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258205018 (or 258205008 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 82625600320 in words is "eighty-two billion, six hundred twenty-five million, six hundred thousand, three hundred twenty".