826826490000 has 675 divisors, whose sum is σ = 3371404580973. Its totient is φ = 188552448000.

The previous prime is 826826489987. The next prime is 826826490019. The reversal of 826826490000 is 94628628.

The square root of 826826490000 is 909300.

It is a perfect power (a square), and thus also a powerful number.

826826490000 is a `hidden beast` number, since 82 + 6 + 82 + 6 + 490 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 824079052944 + 2747437056 = 907788^2 + 52416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1909529784 + ... + 1909530216.

Almost surely, 2^826826490000 is an apocalyptic number.

826826490000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

826826490000 is the 909300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826826490000

826826490000 is an abundant number, since it is smaller than the sum of its proper divisors (2544578090973).

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

826826490000 is an equidigital number, since it uses as much as digits as its factorization.

826826490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 826826490000 in words is "eight hundred twenty-six billion, eight hundred twenty-six million, four hundred ninety thousand".