82087966816128 has 2560 divisors, whose sum is σ = 327158181504000. Its totient is φ = 19829035892736.

The previous prime is 82087966816127. The next prime is 82087966816151. The reversal of 82087966816128 is 82161866978028.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82087966816127) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 84020436376 + ... + 84020437352.

It is an arithmetic number, because the mean of its divisors is an integer number (127796164650).

Almost surely, 2^{82087966816128} 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 82087966816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163579090752000).

82087966816128 is an abundant number, since it is smaller than the sum of its proper divisors (245070214687872).

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

82087966816128 is a wasteful number, since it uses less digits than its factorization.

82087966816128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 82087966816128 in words is "eighty-two trillion, eighty-seven billion, nine hundred sixty-six million, eight hundred sixteen thousand, one hundred twenty-eight".