82112096183040 has 864 divisors, whose sum is σ = 369771114424320. Its totient is φ = 17062249881600.

The previous prime is 82112096183027. The next prime is 82112096183053. The reversal of 82112096183040 is 4038169021128.

82112096183040 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 20 + 9 + 618 + 3 + 0 + 4 + 0 = 666.

82112096183040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (82112096183027) and next prime (82112096183053).

It is a tau number, because it is divible by the number of its divisors (864).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16423825 + ... + 20831855.

It is an arithmetic number, because the mean of its divisors is an integer number (427975826880).

Almost surely, 2^{82112096183040} is an apocalyptic number.

82112096183040 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 82112096183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184885557212160).

82112096183040 is an abundant number, since it is smaller than the sum of its proper divisors (287659018241280).

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

82112096183040 is a wasteful number, since it uses less digits than its factorization.

82112096183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408086 (or 4408059 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 82112096183040 in words is "eighty-two trillion, one hundred twelve billion, ninety-six million, one hundred eighty-three thousand, forty".