82009759493776 has 45 divisors (see below), whose sum is σ = 159120010173411. Its totient is φ = 40946613931872.

The previous prime is 82009759493771. The next prime is 82009759493801. The reversal of 82009759493776 is 67739495790028.

The square root of 82009759493776 is 9055924.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82009759493771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37636419055 + ... + 37636421233.

Almost surely, 2^{82009759493776} is an apocalyptic number.

82009759493776 is the 9055924-th square number.

It is an amenable number.

82009759493776 is a deficient number, since it is larger than the sum of its proper divisors (77110250679635).

82009759493776 is an frugal number, since it uses more digits than its factorization.

82009759493776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 1440270720, while the sum is 76.

The spelling of 82009759493776 in words is "eighty-two trillion, nine billion, seven hundred fifty-nine million, four hundred ninety-three thousand, seven hundred seventy-six".