82129712355 has 24 divisors (see below), whose sum is σ = 142428557232. Its totient is φ = 43780855104.

The previous prime is 82129712317. The next prime is 82129712387. The reversal of 82129712355 is 55321792128.

82129712355 is a `hidden beast` number, since 8 + 2 + 1 + 297 + 1 + 2 + 355 = 666.

It is not a de Polignac number, because 82129712355 - 2⁹ = 82129711843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82129712355.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358984 + ... + 541413.

It is an arithmetic number, because the mean of its divisors is an integer number (5934523218).

Almost surely, 2^82129712355 is an apocalyptic number.

82129712355 is a deficient number, since it is larger than the sum of its proper divisors (60298844877).

82129712355 is a wasteful number, since it uses less digits than its factorization.

82129712355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902435 (or 902432 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 82129712355 in words is "eighty-two billion, one hundred twenty-nine million, seven hundred twelve thousand, three hundred fifty-five".