10805849826912 has 576 divisors, whose sum is σ = 37726046265600. Its totient is φ = 2998648719360.

The previous prime is 10805849826851. The next prime is 10805849826931. The reversal of 10805849826912 is 21962894850801.

10805849826912 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 58 + 498 + 2 + 6 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 10805849826912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325843612 + ... + 325876772.

It is an arithmetic number, because the mean of its divisors is an integer number (65496608100).

Almost surely, 2^{10805849826912} is an apocalyptic number.

10805849826912 is a gapful number since it is divisible by the number (12) 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 10805849826912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18863023132800).

10805849826912 is an abundant number, since it is smaller than the sum of its proper divisors (26920196438688).

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

10805849826912 is a wasteful number, since it uses less digits than its factorization.

10805849826912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33416 (or 33395 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 10805849826912 in words is "ten trillion, eight hundred five billion, eight hundred forty-nine million, eight hundred twenty-six thousand, nine hundred twelve".