826928256960 has 896 divisors, whose sum is σ = 3318174720000. Its totient is φ = 192185892864.

The previous prime is 826928256919. The next prime is 826928256961. The reversal of 826928256960 is 69652829628.

826928256960 is a `hidden beast` number, since 8 + 2 + 6 + 9 + 2 + 8 + 2 + 569 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826928256961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 958201489 + ... + 958202351.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320000).

Almost surely, 2^826928256960 is an apocalyptic number.

826928256960 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 826928256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659087360000).

826928256960 is an abundant number, since it is smaller than the sum of its proper divisors (2491246463040).

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

826928256960 is a wasteful number, since it uses less digits than its factorization.

826928256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 826928256960 in words is "eight hundred twenty-six billion, nine hundred twenty-eight million, two hundred fifty-six thousand, nine hundred sixty".