82719090991 has 16 divisors (see below), whose sum is σ = 86507688960. Its totient is φ = 78946727200.

The previous prime is 82719090967. The next prime is 82719090997. The reversal of 82719090991 is 19909091728.

It is not a de Polignac number, because 82719090991 - 2¹⁷ = 82718959919 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82719090997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35183466 + ... + 35185816.

It is an arithmetic number, because the mean of its divisors is an integer number (5406730560).

Almost surely, 2^82719090991 is an apocalyptic number.

82719090991 is a deficient number, since it is larger than the sum of its proper divisors (3788597969).

82719090991 is a wasteful number, since it uses less digits than its factorization.

82719090991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126.

The product of its (nonzero) digits is 734832, while the sum is 55.

The spelling of 82719090991 in words is "eighty-two billion, seven hundred nineteen million, ninety thousand, nine hundred ninety-one".