82792115316 has 18 divisors (see below), whose sum is σ = 209280069362. Its totient is φ = 27597371760.

The previous prime is 82792115303. The next prime is 82792115317. The reversal of 82792115316 is 61351129728.

82792115316 is a `hidden beast` number, since 8 + 27 + 92 + 1 + 1 + 531 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82137267216 + 654848100 = 286596^2 + 25590^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82792115317) 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 5 ways as a sum of consecutive naturals, for example, 1149890455 + ... + 1149890526.

Almost surely, 2^82792115316 is an apocalyptic number.

It is an amenable number.

82792115316 is an abundant number, since it is smaller than the sum of its proper divisors (126487954046).

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

82792115316 is a wasteful number, since it uses less digits than its factorization.

82792115316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299780991 (or 2299780986 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 82792115316 in words is "eighty-two billion, seven hundred ninety-two million, one hundred fifteen thousand, three hundred sixteen".