82691057792 has 72 divisors (see below), whose sum is σ = 191684571255. Its totient is φ = 35429264640.

The previous prime is 82691057791. The next prime is 82691057797. The reversal of 82691057792 is 29775019628.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 41345528896 + 41345528896 = 203336^2 + 203336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=203336.

It is a super-3 number, since 3×82691057792³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82691057791) 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, 22771817 + ... + 22775447.

Almost surely, 2^82691057792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82691057792

82691057792 is an abundant number, since it is smaller than the sum of its proper divisors (108993513463).

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

82691057792 is an frugal number, since it uses more digits than its factorization.

82691057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 56.

The spelling of 82691057792 in words is "eighty-two billion, six hundred ninety-one million, fifty-seven thousand, seven hundred ninety-two".