82634041804086 has 96 divisors (see below), whose sum is σ = 190674458091936. Its totient is φ = 26805841920000.

The previous prime is 82634041804057. The next prime is 82634041804121. The reversal of 82634041804086 is 68040814043628.

It is a happy number.

82634041804086 is a `hidden beast` number, since 8 + 2 + 6 + 340 + 4 + 180 + 40 + 86 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2819446 + ... + 13161206.

It is an arithmetic number, because the mean of its divisors is an integer number (1986192271791).

Almost surely, 2^{82634041804086} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82634041804086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95337229045968).

82634041804086 is an abundant number, since it is smaller than the sum of its proper divisors (108040416287850).

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

82634041804086 is a wasteful number, since it uses less digits than its factorization.

82634041804086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342220 (or 10342208 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 82634041804086 in words is "eighty-two trillion, six hundred thirty-four billion, forty-one million, eight hundred four thousand, eighty-six".