82258064516100 has 72 divisors (see below), whose sum is σ = 259636363646688. Its totient is φ = 19941348972800.

The previous prime is 82258064516099. The next prime is 82258064516167. The reversal of 82258064516100 is 161546085228.

It is a self number, because there is not a number n which added to its sum of digits gives 82258064516100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12463339809 + ... + 12463346408.

It is an arithmetic number, because the mean of its divisors is an integer number (3606060606204).

Almost surely, 2^{82258064516100} is an apocalyptic number.

It is an amenable number.

82258064516100 is an abundant number, since it is smaller than the sum of its proper divisors (177378299130588).

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

82258064516100 is a wasteful number, since it uses less digits than its factorization.

82258064516100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24926686245 (or 24926686238 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 82258064516100 in words is "eighty-two trillion, two hundred fifty-eight billion, sixty-four million, five hundred sixteen thousand, one hundred".