826815324006 has 64 divisors (see below), whose sum is σ = 2104836610560. Its totient is φ = 235671780960.

The previous prime is 826815323909. The next prime is 826815324043. The reversal of 826815324006 is 600423518628.

It is a super-2 number, since 2×826815324006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2438656 + ... + 2756931.

It is an arithmetic number, because the mean of its divisors is an integer number (32888072040).

Almost surely, 2^826815324006 is an apocalyptic number.

826815324006 is an abundant number, since it is smaller than the sum of its proper divisors (1278021286554).

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

826815324006 is a wasteful number, since it uses less digits than its factorization.

826815324006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196026 (or 5196020 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 826815324006 in words is "eight hundred twenty-six billion, eight hundred fifteen million, three hundred twenty-four thousand, six".