82695654720 has 336 divisors, whose sum is σ = 342183354240. Its totient is φ = 17906946048.

The previous prime is 82695654719. The next prime is 82695654721. The reversal of 82695654720 is 2745659628.

82695654720 is a `hidden beast` number, since 8 + 2 + 6 + 9 + 565 + 4 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82695654719) and next prime (82695654721).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82695654721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275094 + ... + 490986.

It is an arithmetic number, because the mean of its divisors is an integer number (1018402840).

Almost surely, 2^82695654720 is an apocalyptic number.

82695654720 is a gapful number since it is divisible by the number (80) 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 82695654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171091677120).

82695654720 is an abundant number, since it is smaller than the sum of its proper divisors (259487699520).

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

82695654720 is a wasteful number, since it uses less digits than its factorization.

82695654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215942 (or 215929 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 82695654720 in words is "eighty-two billion, six hundred ninety-five million, six hundred fifty-four thousand, seven hundred twenty".