82509767776280 has 64 divisors (see below), whose sum is σ = 199928554862400. Its totient is φ = 30464986452480.

The previous prime is 82509767776243. The next prime is 82509767776297. The reversal of 82509767776280 is 8267776790528.

It is a super-2 number, since 2×82509767776280² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82509767776198 and 82509767776207.

It is a congruent number.

It is an unprimeable number.

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, 157854965 + ... + 158376795.

It is an arithmetic number, because the mean of its divisors is an integer number (3123883669725).

Almost surely, 2^{82509767776280} is an apocalyptic number.

It is an amenable number.

82509767776280 is an abundant number, since it is smaller than the sum of its proper divisors (117418787086120).

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

82509767776280 is a wasteful number, since it uses less digits than its factorization.

82509767776280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825924 (or 825920 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 74.

The spelling of 82509767776280 in words is "eighty-two trillion, five hundred nine billion, seven hundred sixty-seven million, seven hundred seventy-six thousand, two hundred eighty".