82399340612160 has 896 divisors, whose sum is σ = 359479988582400. Its totient is φ = 17468533923840.

The previous prime is 82399340612137. The next prime is 82399340612161. The reversal of 82399340612160 is 6121604399328.

82399340612160 is a `hidden beast` number, since 8 + 2 + 3 + 9 + 9 + 3 + 4 + 0 + 612 + 16 + 0 = 666.

82399340612160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82399340612097 and 82399340612106.

It is not an unprimeable number, because it can be changed into a prime (82399340612161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21719827 + ... + 25229933.

It is an arithmetic number, because the mean of its divisors is an integer number (401205344400).

Almost surely, 2^{82399340612160} is an apocalyptic number.

82399340612160 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 82399340612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179739994291200).

82399340612160 is an abundant number, since it is smaller than the sum of its proper divisors (277080647970240).

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

82399340612160 is a wasteful number, since it uses less digits than its factorization.

82399340612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510176 (or 3510160 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 82399340612160 in words is "eighty-two trillion, three hundred ninety-nine billion, three hundred forty million, six hundred twelve thousand, one hundred sixty".