82879317612 has 480 divisors, whose sum is σ = 282497402880. Its totient is φ = 20575296000.

The previous prime is 82879317601. The next prime is 82879317629. The reversal of 82879317612 is 21671397828.

It is a happy number.

82879317612 is a `hidden beast` number, since 8 + 2 + 8 + 7 + 9 + 3 + 17 + 612 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 110358237 + ... + 110358987.

It is an arithmetic number, because the mean of its divisors is an integer number (588536256).

Almost surely, 2^82879317612 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 82879317612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141248701440).

82879317612 is an abundant number, since it is smaller than the sum of its proper divisors (199618085268).

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

82879317612 is a wasteful number, since it uses less digits than its factorization.

82879317612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 992 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 82879317612 in words is "eighty-two billion, eight hundred seventy-nine million, three hundred seventeen thousand, six hundred twelve".