82691257299616 has 288 divisors, whose sum is σ = 197132076086400. Its totient is φ = 34003557181440.

The previous prime is 82691257299611. The next prime is 82691257299647. The reversal of 82691257299616 is 61699275219628.

It is a super-4 number, since 4×82691257299616⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (82691257299611) 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 47 ways as a sum of consecutive naturals, for example, 15464979055 + ... + 15464984401.

It is an arithmetic number, because the mean of its divisors is an integer number (684486375300).

Almost surely, 2^{82691257299616} 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 82691257299616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98566038043200).

82691257299616 is an abundant number, since it is smaller than the sum of its proper divisors (114440818786784).

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

82691257299616 is a wasteful number, since it uses less digits than its factorization.

82691257299616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7460 (or 7445 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 73.

The spelling of 82691257299616 in words is "eighty-two trillion, six hundred ninety-one billion, two hundred fifty-seven million, two hundred ninety-nine thousand, six hundred sixteen".