82776910193 has 16 divisors (see below), whose sum is σ = 86073454656. Its totient is φ = 79536916800.

The previous prime is 82776910133. The next prime is 82776910199. The reversal of 82776910193 is 39101967728.

It is not a de Polignac number, because 82776910193 - 2²⁴ = 82760132977 is a prime.

It is a super-2 number, since 2×82776910193² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82776910199) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11362130 + ... + 11369412.

It is an arithmetic number, because the mean of its divisors is an integer number (5379590916).

Almost surely, 2^82776910193 is an apocalyptic number.

82776910193 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

82776910193 is a deficient number, since it is larger than the sum of its proper divisors (3296544463).

82776910193 is a wasteful number, since it uses less digits than its factorization.

82776910193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11104.

The product of its (nonzero) digits is 1143072, while the sum is 53.

The spelling of 82776910193 in words is "eighty-two billion, seven hundred seventy-six million, nine hundred ten thousand, one hundred ninety-three".