82270266864408 has 80 divisors (see below), whose sum is σ = 263351912464080. Its totient is φ = 23505790531392.

The previous prime is 82270266864403. The next prime is 82270266864503. The reversal of 82270266864408 is 80446866207228.

82270266864408 is a `hidden beast` number, since 8 + 2 + 270 + 266 + 8 + 64 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82270266864403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9068587491 + ... + 9068596562.

It is an arithmetic number, because the mean of its divisors is an integer number (3291898905801).

Almost surely, 2^{82270266864408} is an apocalyptic number.

It is an amenable number.

82270266864408 is an abundant number, since it is smaller than the sum of its proper divisors (181081645599672).

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

82270266864408 is a wasteful number, since it uses less digits than its factorization.

82270266864408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18137184078 (or 18137184065 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 82270266864408 in words is "eighty-two trillion, two hundred seventy billion, two hundred sixty-six million, eight hundred sixty-four thousand, four hundred eight".