82717934829520 has 20 divisors (see below), whose sum is σ = 192319198478820. Its totient is φ = 33087173931776.

The previous prime is 82717934829511. The next prime is 82717934829529. The reversal of 82717934829520 is 2592843971728.

It is an interprime number because it is at equal distance from previous prime (82717934829511) and next prime (82717934829529).

It can be written as a sum of positive squares in 2 ways, for example, as 32306855623744 + 50411079205776 = 5683912^2 + 7100076^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×82717934829520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82717934829529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 516987092605 + ... + 516987092764.

It is an arithmetic number, because the mean of its divisors is an integer number (9615959923941).

Almost surely, 2^{82717934829520} is an apocalyptic number.

82717934829520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82717934829520 is an abundant number, since it is smaller than the sum of its proper divisors (109601263649300).

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

82717934829520 is a wasteful number, since it uses less digits than its factorization.

82717934829520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033974185382 (or 1033974185376 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 67.

The spelling of 82717934829520 in words is "eighty-two trillion, seven hundred seventeen billion, nine hundred thirty-four million, eight hundred twenty-nine thousand, five hundred twenty".