82695832547328 has 2912 divisors, whose sum is σ = 338354278832640. Its totient is φ = 19503969730560.

The previous prime is 82695832547299. The next prime is 82695832547329. The reversal of 82695832547328 is 82374523859628.

82695832547328 is a `hidden beast` number, since 8 + 2 + 6 + 9 + 58 + 3 + 2 + 547 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1393459200) is a multiple of the sum of its prime factors (525).

It is not an unprimeable number, because it can be changed into a prime (82695832547329) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 218194808643 + ... + 218194809021.

Almost surely, 2^{82695832547328} is an apocalyptic number.

82695832547328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82695832547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169177139416320).

82695832547328 is an abundant number, since it is smaller than the sum of its proper divisors (255658446285312).

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

82695832547328 is a wasteful number, since it uses less digits than its factorization.

82695832547328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 488 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 82695832547328 in words is "eighty-two trillion, six hundred ninety-five billion, eight hundred thirty-two million, five hundred forty-seven thousand, three hundred twenty-eight".