82935472320 has 196 divisors, whose sum is σ = 296100520320. Its totient is φ = 22116063744.

The previous prime is 82935472313. The next prime is 82935472331. The reversal of 82935472320 is 2327453928.

82935472320 is a `hidden beast` number, since 82 + 9 + 3 + 547 + 2 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 55521 + ... + 411039.

Almost surely, 2^82935472320 is an apocalyptic number.

82935472320 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 82935472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148050260160).

82935472320 is an abundant number, since it is smaller than the sum of its proper divisors (213165048000).

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

82935472320 is an equidigital number, since it uses as much as digits as its factorization.

82935472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355554 (or 355529 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 82935472320 in words is "eighty-two billion, nine hundred thirty-five million, four hundred seventy-two thousand, three hundred twenty".