82891968192 has 280 divisors, whose sum is σ = 282167624640. Its totient is φ = 23796426240.

The previous prime is 82891968121. The next prime is 82891968209. The reversal of 82891968192 is 29186919828.

82891968192 is a `hidden beast` number, since 8 + 289 + 196 + 81 + 92 = 666.

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 39 ways as a sum of consecutive naturals, for example, 1045203 + ... + 1121709.

Almost surely, 2^82891968192 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 82891968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141083812320).

82891968192 is an abundant number, since it is smaller than the sum of its proper divisors (199275656448).

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

82891968192 is a wasteful number, since it uses less digits than its factorization.

82891968192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76561 (or 76542 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The spelling of 82891968192 in words is "eighty-two billion, eight hundred ninety-one million, nine hundred sixty-eight thousand, one hundred ninety-two".