10791248944896 has 1944 divisors, whose sum is σ = 40542192862080. Its totient is φ = 2849408077824.

The previous prime is 10791248944871. The next prime is 10791248944901. The reversal of 10791248944896 is 69844984219701.

10791248944896 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 12 + 4 + 89 + 448 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 104769407181 + ... + 104769407283.

Almost surely, 2^{10791248944896} is an apocalyptic number.

10791248944896 is a gapful number since it is divisible by the number (16) 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 10791248944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20271096431040).

10791248944896 is an abundant number, since it is smaller than the sum of its proper divisors (29750943917184).

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

10791248944896 is an frugal number, since it uses more digits than its factorization.

10791248944896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 10791248944896 in words is "ten trillion, seven hundred ninety-one billion, two hundred forty-eight million, nine hundred forty-four thousand, eight hundred ninety-six".