82007741088 has 768 divisors, whose sum is σ = 303645081600. Its totient is φ = 21223627776.

The previous prime is 82007741071. The next prime is 82007741099. The reversal of 82007741088 is 88014770028.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 503114895 + ... + 503115057.

It is an arithmetic number, because the mean of its divisors is an integer number (395371200).

Almost surely, 2^82007741088 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 82007741088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151822540800).

82007741088 is an abundant number, since it is smaller than the sum of its proper divisors (221637340512).

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

82007741088 is a wasteful number, since it uses less digits than its factorization.

82007741088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 82007741088 in words is "eighty-two billion, seven million, seven hundred forty-one thousand, eighty-eight".