82245966759 has 16 divisors (see below), whose sum is σ = 132922775040. Its totient is φ = 49846040280.

The previous prime is 82245966739. The next prime is 82245966787. The reversal of 82245966759 is 95766954228.

It is not a de Polignac number, because 82245966759 - 2⁵ = 82245966727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82245966696 and 82245966705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82245966739) 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, 138460927 + ... + 138461520.

It is an arithmetic number, because the mean of its divisors is an integer number (8307673440).

Almost surely, 2^82245966759 is an apocalyptic number.

82245966759 is a deficient number, since it is larger than the sum of its proper divisors (50676808281).

82245966759 is a wasteful number, since it uses less digits than its factorization.

82245966759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276922467 (or 276922461 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

It can be divided in two parts, 82245966 and 759, that added together give a triangular number (82246725 = T₁₂₈₂₅).

The spelling of 82245966759 in words is "eighty-two billion, two hundred forty-five million, nine hundred sixty-six thousand, seven hundred fifty-nine".