82111371716160 has 84 divisors (see below), whose sum is σ = 282428905641948. Its totient is φ = 21896365790208.

The previous prime is 82111371716149. The next prime is 82111371716167. The reversal of 82111371716160 is 6161717311128.

82111371716160 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 13 + 7 + 17 + 1 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63720242390016 + 18391129326144 = 7982496^2 + 4288488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82111371716167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14255443599 + ... + 14255449358.

Almost surely, 2^{82111371716160} is an apocalyptic number.

82111371716160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82111371716160 is an abundant number, since it is smaller than the sum of its proper divisors (200317533925788).

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

82111371716160 is a wasteful number, since it uses less digits than its factorization.

82111371716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28510892980 (or 28510892967 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 82111371716160 in words is "eighty-two trillion, one hundred eleven billion, three hundred seventy-one million, seven hundred sixteen thousand, one hundred sixty".