82163134080 has 1280 divisors, whose sum is σ = 328435430400. Its totient is φ = 19508428800.

The previous prime is 82163134069. The next prime is 82163134133. The reversal of 82163134080 is 8043136128.

82163134080 is a `hidden beast` number, since 8 + 216 + 31 + 3 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1910770539 + ... + 1910770581.

It is an arithmetic number, because the mean of its divisors is an integer number (256590180).

Almost surely, 2^82163134080 is an apocalyptic number.

82163134080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82163134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164217715200).

82163134080 is an abundant number, since it is smaller than the sum of its proper divisors (246272296320).

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

82163134080 is a wasteful number, since it uses less digits than its factorization.

82163134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 82163134080 in words is "eighty-two billion, one hundred sixty-three million, one hundred thirty-four thousand, eighty".