10824640894848 has 128 divisors (see below), whose sum is σ = 31423177895040. Its totient is φ = 3274304460800.

The previous prime is 10824640894841. The next prime is 10824640894853. The reversal of 10824640894848 is 84849804642801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824640894841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52363 + ... + 4653173.

It is an arithmetic number, because the mean of its divisors is an integer number (245493577305).

Almost surely, 2^{10824640894848} 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 10824640894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15711588947520).

10824640894848 is an abundant number, since it is smaller than the sum of its proper divisors (20598537000192).

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

10824640894848 is a wasteful number, since it uses less digits than its factorization.

10824640894848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601396 (or 4601384 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 66.

The spelling of 10824640894848 in words is "ten trillion, eight hundred twenty-four billion, six hundred forty million, eight hundred ninety-four thousand, eight hundred forty-eight".