82934095104 has 288 divisors, whose sum is σ = 280937825280. Its totient is φ = 23640422400.

The previous prime is 82934095103. The next prime is 82934095133. The reversal of 82934095104 is 40159043928.

82934095104 is a `hidden beast` number, since 8 + 2 + 93 + 40 + 9 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 82934095104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82934095103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23754799 + ... + 23758289.

It is an arithmetic number, because the mean of its divisors is an integer number (975478560).

Almost surely, 2^82934095104 is an apocalyptic number.

82934095104 is a gapful number since it is divisible by the number (84) 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 82934095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140468912640).

82934095104 is an abundant number, since it is smaller than the sum of its proper divisors (198003730176).

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

82934095104 is a wasteful number, since it uses less digits than its factorization.

82934095104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 82934095104 in words is "eighty-two billion, nine hundred thirty-four million, ninety-five thousand, one hundred four".