82130396544 has 96 divisors (see below), whose sum is σ = 270101479440. Its totient is φ = 23465825280.

The previous prime is 82130396497. The next prime is 82130396581. The reversal of 82130396544 is 44569303128.

82130396544 is a `hidden beast` number, since 8 + 2 + 13 + 0 + 3 + 96 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 82130396544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5084347 + ... + 5100474.

Almost surely, 2^82130396544 is an apocalyptic number.

82130396544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82130396544 is an abundant number, since it is smaller than the sum of its proper divisors (187971082896).

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

82130396544 is a wasteful number, since it uses less digits than its factorization.

82130396544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184848 (or 10184833 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 82130396544 in words is "eighty-two billion, one hundred thirty million, three hundred ninety-six thousand, five hundred forty-four".