82042901111808 has 1056 divisors, whose sum is σ = 306512538631936. Its totient is φ = 21340851535872.

The previous prime is 82042901111783. The next prime is 82042901111813. The reversal of 82042901111808 is 80811110924028.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1652966160 + ... + 1653015792.

Almost surely, 2^{82042901111808} 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 82042901111808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153256269315968).

82042901111808 is an abundant number, since it is smaller than the sum of its proper divisors (224469637520128).

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

82042901111808 is a wasteful number, since it uses less digits than its factorization.

82042901111808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49761 (or 49731 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 82042901111808 in words is "eighty-two trillion, forty-two billion, nine hundred one million, one hundred eleven thousand, eight hundred eight".