82188768816 has 240 divisors, whose sum is σ = 287027819520. Its totient is φ = 21328634880.

The previous prime is 82188768763. The next prime is 82188768821. The reversal of 82188768816 is 61886788128.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15775620 + ... + 15780828.

It is an arithmetic number, because the mean of its divisors is an integer number (1195949248).

Almost surely, 2^82188768816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82188768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143513909760).

82188768816 is an abundant number, since it is smaller than the sum of its proper divisors (204839050704).

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

82188768816 is a wasteful number, since it uses less digits than its factorization.

82188768816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6655 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 63.

The spelling of 82188768816 in words is "eighty-two billion, one hundred eighty-eight million, seven hundred sixty-eight thousand, eight hundred sixteen".