826939533420 has 1728 divisors, whose sum is σ = 3595792392192. Its totient is φ = 149448499200.

The previous prime is 826939533397. The next prime is 826939533421. The reversal of 826939533420 is 24335939628.

It is a happy number.

826939533420 is a `hidden beast` number, since 8 + 2 + 69 + 3 + 9 + 533 + 42 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (826939533421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2641979184 + ... + 2641979496.

Almost surely, 2^826939533420 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 826939533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797896196096).

826939533420 is an abundant number, since it is smaller than the sum of its proper divisors (2768852858772).

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

826939533420 is a wasteful number, since it uses less digits than its factorization.

826939533420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 826939533420 in words is "eight hundred twenty-six billion, nine hundred thirty-nine million, five hundred thirty-three thousand, four hundred twenty".