82963288212320 has 384 divisors, whose sum is σ = 212934561315840. Its totient is φ = 30449672478720.

The previous prime is 82963288212307. The next prime is 82963288212349. The reversal of 82963288212320 is 2321288236928.

It is a super-2 number, since 2×82963288212320² (a number of 29 digits) contains 22 as substring.

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, 3313614842 + ... + 3313639878.

It is an arithmetic number, because the mean of its divisors is an integer number (554517086760).

Almost surely, 2^{82963288212320} is an apocalyptic number.

82963288212320 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 82963288212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106467280657920).

82963288212320 is an abundant number, since it is smaller than the sum of its proper divisors (129971273103520).

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

82963288212320 is a wasteful number, since it uses less digits than its factorization.

82963288212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25406 (or 25398 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 82963288212320 in words is "eighty-two trillion, nine hundred sixty-three billion, two hundred eighty-eight million, two hundred twelve thousand, three hundred twenty".