826226672166280 has 288 divisors, whose sum is σ = 2380942291797720. Its totient is φ = 257096657664000.

The previous prime is 826226672166271. The next prime is 826226672166289. The reversal of 826226672166280 is 82661276622628.

It is an interprime number because it is at equal distance from previous prime (826226672166271) and next prime (826226672166289).

It can be written as a sum of positive squares in 4 ways, for example, as 665040439870884 + 161186232295396 = 25788378^2 + 12695914^2 .

It is not an unprimeable number, because it can be changed into a prime (826226672166289) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139634794 + ... + 145431526.

Almost surely, 2^{826226672166280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826226672166280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190471145898860).

826226672166280 is an abundant number, since it is smaller than the sum of its proper divisors (1554715619631440).

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

826226672166280 is a wasteful number, since it uses less digits than its factorization.

826226672166280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5797381 (or 5797359 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 64.

The spelling of 826226672166280 in words is "eight hundred twenty-six trillion, two hundred twenty-six billion, six hundred seventy-two million, one hundred sixty-six thousand, two hundred eighty".