82299938872320 has 704 divisors, whose sum is σ = 328672356848640. Its totient is φ = 19377634738176.

The previous prime is 82299938872253. The next prime is 82299938872321. The reversal of 82299938872320 is 2327883999228.

82299938872320 is a `hidden beast` number, since 8 + 2 + 2 + 9 + 9 + 9 + 388 + 7 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82299938872321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40338207 + ... + 42329313.

Almost surely, 2^{82299938872320} is an apocalyptic number.

82299938872320 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 82299938872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164336178424320).

82299938872320 is an abundant number, since it is smaller than the sum of its proper divisors (246372417976320).

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

82299938872320 is a wasteful number, since it uses less digits than its factorization.

82299938872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991177 (or 1991153 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 82299938872320 in words is "eighty-two trillion, two hundred ninety-nine billion, nine hundred thirty-eight million, eight hundred seventy-two thousand, three hundred twenty".