8219278729128 has 64 divisors (see below), whose sum is σ = 20931568776000. Its totient is φ = 2688843386880.

The previous prime is 8219278729127. The next prime is 8219278729183.

8219278729128 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8219278729121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5594626 + ... + 6909297.

It is an arithmetic number, because the mean of its divisors is an integer number (327055762125).

Almost surely, 2^{8219278729128} is an apocalyptic number.

It is an amenable number.

8219278729128 is an abundant number, since it is smaller than the sum of its proper divisors (12712290046872).

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

8219278729128 is a wasteful number, since it uses less digits than its factorization.

8219278729128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12504442 (or 12504438 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 66.

The spelling of 8219278729128 in words is "eight trillion, two hundred nineteen billion, two hundred seventy-eight million, seven hundred twenty-nine thousand, one hundred twenty-eight".