82441007007 has 16 divisors (see below), whose sum is σ = 115772509440. Its totient is φ = 52079753792.

The previous prime is 82441006981. The next prime is 82441007009. The reversal of 82441007007 is 70070014428.

It is a cyclic number.

It is not a de Polignac number, because 82441007007 - 2⁶ = 82441006943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82441007009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5575782 + ... + 5590547.

It is an arithmetic number, because the mean of its divisors is an integer number (7235781840).

Almost surely, 2^82441007007 is an apocalyptic number.

82441007007 is a deficient number, since it is larger than the sum of its proper divisors (33331502433).

82441007007 is a wasteful number, since it uses less digits than its factorization.

82441007007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166462.

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 82441007007 in words is "eighty-two billion, four hundred forty-one million, seven thousand, seven".