82872066816 has 1008 divisors, whose sum is σ = 317419791360. Its totient is φ = 20961607680.

The previous prime is 82872066811. The next prime is 82872066817. The reversal of 82872066816 is 61866027828.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (82872066811) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1049013465 + ... + 1049013543.

Almost surely, 2^82872066816 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 82872066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158709895680).

82872066816 is an abundant number, since it is smaller than the sum of its proper divisors (234547724544).

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

82872066816 is an equidigital number, since it uses as much as digits as its factorization.

82872066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 82872066816 in words is "eighty-two billion, eight hundred seventy-two million, sixty-six thousand, eight hundred sixteen".