10826826120 has 384 divisors, whose sum is σ = 40216176000. Its totient is φ = 2597806080.

The previous prime is 10826826097. The next prime is 10826826121. The reversal of 10826826120 is 2162862801.

10826826120 is a `hidden beast` number, since 10 + 8 + 26 + 8 + 2 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10826826121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11653816 + ... + 11654744.

It is an arithmetic number, because the mean of its divisors is an integer number (104729625).

Almost surely, 2^10826826120 is an apocalyptic number.

10826826120 is a gapful number since it is divisible by the number (10) 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 10826826120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088000).

10826826120 is an abundant number, since it is smaller than the sum of its proper divisors (29389349880).

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

10826826120 is a wasteful number, since it uses less digits than its factorization.

10826826120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10826826120 in words is "ten billion, eight hundred twenty-six million, eight hundred twenty-six thousand, one hundred twenty".