826163760960 has 504 divisors, whose sum is σ = 3039905572704. Its totient is φ = 205814568960.

The previous prime is 826163760959. The next prime is 826163760973. The reversal of 826163760960 is 69067361628.

826163760960 is a `hidden beast` number, since 8 + 26 + 1 + 6 + 3 + 7 + 609 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 826163760897 and 826163760906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65505055 + ... + 65517665.

It is an arithmetic number, because the mean of its divisors is an integer number (6031558676).

Almost surely, 2^826163760960 is an apocalyptic number.

826163760960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826163760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519952786352).

826163760960 is an abundant number, since it is smaller than the sum of its proper divisors (2213741811744).

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

826163760960 is a wasteful number, since it uses less digits than its factorization.

826163760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723 (or 12687 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 826163760960 in words is "eight hundred twenty-six billion, one hundred sixty-three million, seven hundred sixty thousand, nine hundred sixty".