10826889046704 has 240 divisors, whose sum is σ = 32417496933120. Its totient is φ = 3363226513920.

The previous prime is 10826889046619. The next prime is 10826889046733. The reversal of 10826889046704 is 40764098862801.

10826889046704 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 6 + 88 + 90 + 467 + 0 + 4 = 666.

It is a super-3 number, since 3×10826889046704³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85992502 + ... + 86118314.

It is an arithmetic number, because the mean of its divisors is an integer number (135072903888).

Almost surely, 2^{10826889046704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10826889046704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208748466560).

10826889046704 is an abundant number, since it is smaller than the sum of its proper divisors (21590607886416).

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

10826889046704 is a wasteful number, since it uses less digits than its factorization.

10826889046704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126360 (or 126351 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 10826889046704 in words is "ten trillion, eight hundred twenty-six billion, eight hundred eighty-nine million, forty-six thousand, seven hundred four".