82051078194 has 96 divisors (see below), whose sum is σ = 191366622720. Its totient is φ = 26320982400.

The previous prime is 82051078189. The next prime is 82051078199. The reversal of 82051078194 is 49187015028.

It is an interprime number because it is at equal distance from previous prime (82051078189) and next prime (82051078199).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82051078199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2711902 + ... + 2741990.

It is an arithmetic number, because the mean of its divisors is an integer number (1993402320).

Almost surely, 2^82051078194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82051078194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95683311360).

82051078194 is an abundant number, since it is smaller than the sum of its proper divisors (109315544526).

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

82051078194 is a wasteful number, since it uses less digits than its factorization.

82051078194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30318 (or 30306 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

It can be divided in two parts, 820510 and 78194, that added together give a square (898704 = 948²).

The spelling of 82051078194 in words is "eighty-two billion, fifty-one million, seventy-eight thousand, one hundred ninety-four".